David Iglesias - Academia.edu (original) (raw)
Papers by David Iglesias
Infection Control and Hospital Epidemiology, 2007
In a limited-resource hospital in Lima, Peru, 23 (63.9%) of 36 healthcare workers developed pruri... more In a limited-resource hospital in Lima, Peru, 23 (63.9%) of 36 healthcare workers developed pruritus and/or skin lesions after contact with a patient with classic scabies. Of these 23, a total of 5 healthcare workers had scabies confirmed by microscopy. Oral ivermectin was used to control the outbreak effectively.
Journal of Invertebrate Pathology, 2001
A survey of pathological conditions affecting cockle populations of the most economically importa... more A survey of pathological conditions affecting cockle populations of the most economically important natural beds of Galician estuaries in NW Spain was performed. Samples of 30 adult cockles were collected from each of 34 natural beds in the spring of 1999 and processed by histological techniques. Disseminated neoplasia were seen in samples from most of the natural beds, in some cases with a high prevalence. The gregarine Nematopsis sp., larval trematode stages, and branchial extracellular large cysts enclosing bacterialike microorganisms were the most prevalent parasites. Paravortex cardii, intracellular colonies of rickettsiae-like organisms in digestive and gill epithelium, Pseudoklossia sp. coccidians, Trichodina sp., and other ciliates were frequently seen in the samples. Copepods in gills and intestine and unidentified gregarines in intestine epithelia and surrounding connective tissue were less prevalent and were observed in samples of some natural beds. Large foci of heavy hemocytic infiltration were detected in a few sites only. Cysts of Steinhausia sp. and plasmodia and spores of a haplosporidian were seen in cockles from two localities. Inflammation was frequently observed in the samples. Some of the parasites and pathological conditions could be associated with mortality.
Journal of Geometry and Physics, 2001
The notion of a generalized Lie bialgebroid (a generalization of the notion of a Lie bialgebroid)... more The notion of a generalized Lie bialgebroid (a generalization of the notion of a Lie bialgebroid) is introduced in such a way that a Jacobi manifold has associated a canonical generalized Lie bialgebroid. As a kind of converse, we prove that a Jacobi structure can be defined on the base space of a generalized Lie bialgebroid. We also show that it is possible to construct a Lie bialgebroid from a generalized Lie bialgebroid and, as a consequence, we deduce a duality theorem. Finally, some special classes of generalized Lie bialgebroids are considered: triangular generalized Lie bialgebroids and generalized Lie bialgebras. : 17B62, 53D10, 53D17.
Comptes Rendus De L Academie Des Sciences Serie I-mathematique, 2000
We study Jacobi structures on the dual bundle A * to a vector bundle A such that the Jacobi brack... more We study Jacobi structures on the dual bundle A * to a vector bundle A such that the Jacobi bracket of linear functions is again linear and the Jacobi bracket of a linear function and the constant function 1 is a basic function. We prove that a Lie algebroid structure on A and a 1-cocycle φ ∈ Γ(A * ) induce a Jacobi structure on A * satisfying the above conditions. Moreover, we show that this correspondence is a bijection. Finally, we discuss some examples and applications.
Journal of Physics A-mathematical and General, 2004
The notion of homogeneous tensors is discussed. We show that there is a one-to-one correspondence... more The notion of homogeneous tensors is discussed. We show that there is a one-to-one correspondence between multivector fields on a manifold MMM, homogeneous with respect to a vector field Delta\DeltaDelta on MMM, and first-order polydifferential operators on a closed submanifold NNN of codimension 1 such that Delta\DeltaDelta is transversal to NNN. This correspondence relates the Schouten-Nijenhuis bracket of multivector fields on MMM to the Schouten-Jacobi bracket of first-order polydifferential operators on NNN and generalizes the Poissonization of Jacobi manifolds. Actually, it can be viewed as a super-Poissonization. This procedure of passing from a homogeneous multivector field to a first-order polydifferential operator can be also understood as a sort of reduction; in the standard case -- a half of a Poisson reduction. A dual version of the above correspondence yields in particular the correspondence between Delta\DeltaDelta-homogeneous symplectic structures on MMM and contact structures on NNN.
Journal of Nonlinear Science, 2008
This paper studies the construction of geometric integrators for nonholonomic systems. We derive ... more This paper studies the construction of geometric integrators for nonholonomic systems. We derive the nonholonomic discrete Euler-Lagrange equations in a setting which permits to deduce geometric integrators for continuous nonholonomic systems (reduced or not). The formalism is given in terms of Lie groupoids, specifying a discrete Lagrangian and a constraint submanifold on it. Additionally, it is necessary to fix a vector subbundle of the Lie algebroid associated to the Lie groupoid. We also discuss the existence of nonholonomic evolution operators in terms of the discrete nonholonomic Legendre transformations and in terms of adequate decompositions of the prolongation of the Lie groupoid. The characterization of the reversibility of the evolution operator and the discrete nonholonomic momentum equation are also considered. Finally, we illustrate with several classical examples the wide range of application of the theory (the discrete nonholonomic constrained particle, the Suslov system, the Chaplygin sleigh, the Veselova system, the rolling ball on a rotating table and the two wheeled planar mobile robot).
Israel Journal of Mathematics, 2003
We study generalized Lie bialgebroids over a single point, that is, generalized Lie bialgebras an... more We study generalized Lie bialgebroids over a single point, that is, generalized Lie bialgebras and we prove that they can be considered as the infinitesimal invariants of Lie groups endowed with a certain type of Jacobi structure. We also propose a method generalizing the Yang-Baxter equation method to obtain generalized Lie bialgebras. Finally, we classify the compact generalized Lie bialgebras.
Journal of Physics A-mathematical and General, 2002
We prove some general results about the relation between the 1-cocycles of an arbitrary Lie algeb... more We prove some general results about the relation between the 1-cocycles of an arbitrary Lie algebroid A over M and the leaves of the Lie algebroid foliation on M associated with A. Using these results, we show that a E 1 (M )-Dirac structure L induces on every leaf F of its characteristic foliation a E 1 (F )-Dirac structure L F , which comes from a precontact structure or from a locally conformal presymplectic structure on F . In addition, we prove that a Dirac structureL on M × R can be obtained from L and we discuss the relation between the leaves of the characteristic foliations of L andL.
Journal of Geometry and Physics, 2001
The notion of a generalized Lie bialgebroid (a generalization of the notion of a Lie bialgebroid)... more The notion of a generalized Lie bialgebroid (a generalization of the notion of a Lie bialgebroid) is introduced in such a way that a Jacobi manifold has associated a canonical generalized Lie bialgebroid. As a kind of converse, we prove that a Jacobi structure can be defined on the base space of a generalized Lie bialgebroid. We also show that it is possible to construct a Lie bialgebroid from a generalized Lie bialgebroid and, as a consequence, we deduce a duality theorem. Finally, some special classes of generalized Lie bialgebroids are considered: triangular generalized Lie bialgebroids and generalized Lie bialgebras. : 17B62, 53D10, 53D17.
Comptes Rendus De L Academie Des Sciences Serie I-mathematique, 2000
We study Jacobi structures on the dual bundle A * to a vector bundle A such that the Jacobi brack... more We study Jacobi structures on the dual bundle A * to a vector bundle A such that the Jacobi bracket of linear functions is again linear and the Jacobi bracket of a linear function and the constant function 1 is a basic function. We prove that a Lie algebroid structure on A and a 1-cocycle φ ∈ Γ(A * ) induce a Jacobi structure on A * satisfying the above conditions. Moreover, we show that this correspondence is a bijection. Finally, we discuss some examples and applications.
Journal of Physics A-mathematical and General, 2004
The notion of homogeneous tensors is discussed. We show that there is a one-to-one correspondence... more The notion of homogeneous tensors is discussed. We show that there is a one-to-one correspondence between multivector fields on a manifold MMM, homogeneous with respect to a vector field Delta\DeltaDelta on MMM, and first-order polydifferential operators on a closed submanifold NNN of codimension 1 such that Delta\DeltaDelta is transversal to NNN. This correspondence relates the Schouten-Nijenhuis bracket of multivector fields on MMM to the Schouten-Jacobi bracket of first-order polydifferential operators on NNN and generalizes the Poissonization of Jacobi manifolds. Actually, it can be viewed as a super-Poissonization. This procedure of passing from a homogeneous multivector field to a first-order polydifferential operator can be also understood as a sort of reduction; in the standard case -- a half of a Poisson reduction. A dual version of the above correspondence yields in particular the correspondence between Delta\DeltaDelta-homogeneous symplectic structures on MMM and contact structures on NNN.
Journal of Nonlinear Science, 2008
This paper studies the construction of geometric integrators for nonholonomic systems. We derive ... more This paper studies the construction of geometric integrators for nonholonomic systems. We derive the nonholonomic discrete Euler-Lagrange equations in a setting which permits to deduce geometric integrators for continuous nonholonomic systems (reduced or not). The formalism is given in terms of Lie groupoids, specifying a discrete Lagrangian and a constraint submanifold on it. Additionally, it is necessary to fix a vector subbundle of the Lie algebroid associated to the Lie groupoid. We also discuss the existence of nonholonomic evolution operators in terms of the discrete nonholonomic Legendre transformations and in terms of adequate decompositions of the prolongation of the Lie groupoid. The characterization of the reversibility of the evolution operator and the discrete nonholonomic momentum equation are also considered. Finally, we illustrate with several classical examples the wide range of application of the theory (the discrete nonholonomic constrained particle, the Suslov system, the Chaplygin sleigh, the Veselova system, the rolling ball on a rotating table and the two wheeled planar mobile robot).
Israel Journal of Mathematics, 2003
We study generalized Lie bialgebroids over a single point, that is, generalized Lie bialgebras an... more We study generalized Lie bialgebroids over a single point, that is, generalized Lie bialgebras and we prove that they can be considered as the infinitesimal invariants of Lie groups endowed with a certain type of Jacobi structure. We also propose a method generalizing the Yang-Baxter equation method to obtain generalized Lie bialgebras. Finally, we classify the compact generalized Lie bialgebras.
Journal of Physics A-mathematical and General, 2002
We prove some general results about the relation between the 1-cocycles of an arbitrary Lie algeb... more We prove some general results about the relation between the 1-cocycles of an arbitrary Lie algebroid A over M and the leaves of the Lie algebroid foliation on M associated with A. Using these results, we show that a E 1 (M )-Dirac structure L induces on every leaf F of its characteristic foliation a E 1 (F )-Dirac structure L F , which comes from a precontact structure or from a locally conformal presymplectic structure on F . In addition, we prove that a Dirac structureL on M × R can be obtained from L and we discuss the relation between the leaves of the characteristic foliations of L andL.
Infection Control and Hospital Epidemiology, 2007
In a limited-resource hospital in Lima, Peru, 23 (63.9%) of 36 healthcare workers developed pruri... more In a limited-resource hospital in Lima, Peru, 23 (63.9%) of 36 healthcare workers developed pruritus and/or skin lesions after contact with a patient with classic scabies. Of these 23, a total of 5 healthcare workers had scabies confirmed by microscopy. Oral ivermectin was used to control the outbreak effectively.
Journal of Invertebrate Pathology, 2001
A survey of pathological conditions affecting cockle populations of the most economically importa... more A survey of pathological conditions affecting cockle populations of the most economically important natural beds of Galician estuaries in NW Spain was performed. Samples of 30 adult cockles were collected from each of 34 natural beds in the spring of 1999 and processed by histological techniques. Disseminated neoplasia were seen in samples from most of the natural beds, in some cases with a high prevalence. The gregarine Nematopsis sp., larval trematode stages, and branchial extracellular large cysts enclosing bacterialike microorganisms were the most prevalent parasites. Paravortex cardii, intracellular colonies of rickettsiae-like organisms in digestive and gill epithelium, Pseudoklossia sp. coccidians, Trichodina sp., and other ciliates were frequently seen in the samples. Copepods in gills and intestine and unidentified gregarines in intestine epithelia and surrounding connective tissue were less prevalent and were observed in samples of some natural beds. Large foci of heavy hemocytic infiltration were detected in a few sites only. Cysts of Steinhausia sp. and plasmodia and spores of a haplosporidian were seen in cockles from two localities. Inflammation was frequently observed in the samples. Some of the parasites and pathological conditions could be associated with mortality.
Journal of Geometry and Physics, 2001
The notion of a generalized Lie bialgebroid (a generalization of the notion of a Lie bialgebroid)... more The notion of a generalized Lie bialgebroid (a generalization of the notion of a Lie bialgebroid) is introduced in such a way that a Jacobi manifold has associated a canonical generalized Lie bialgebroid. As a kind of converse, we prove that a Jacobi structure can be defined on the base space of a generalized Lie bialgebroid. We also show that it is possible to construct a Lie bialgebroid from a generalized Lie bialgebroid and, as a consequence, we deduce a duality theorem. Finally, some special classes of generalized Lie bialgebroids are considered: triangular generalized Lie bialgebroids and generalized Lie bialgebras. : 17B62, 53D10, 53D17.
Comptes Rendus De L Academie Des Sciences Serie I-mathematique, 2000
We study Jacobi structures on the dual bundle A * to a vector bundle A such that the Jacobi brack... more We study Jacobi structures on the dual bundle A * to a vector bundle A such that the Jacobi bracket of linear functions is again linear and the Jacobi bracket of a linear function and the constant function 1 is a basic function. We prove that a Lie algebroid structure on A and a 1-cocycle φ ∈ Γ(A * ) induce a Jacobi structure on A * satisfying the above conditions. Moreover, we show that this correspondence is a bijection. Finally, we discuss some examples and applications.
Journal of Physics A-mathematical and General, 2004
The notion of homogeneous tensors is discussed. We show that there is a one-to-one correspondence... more The notion of homogeneous tensors is discussed. We show that there is a one-to-one correspondence between multivector fields on a manifold MMM, homogeneous with respect to a vector field Delta\DeltaDelta on MMM, and first-order polydifferential operators on a closed submanifold NNN of codimension 1 such that Delta\DeltaDelta is transversal to NNN. This correspondence relates the Schouten-Nijenhuis bracket of multivector fields on MMM to the Schouten-Jacobi bracket of first-order polydifferential operators on NNN and generalizes the Poissonization of Jacobi manifolds. Actually, it can be viewed as a super-Poissonization. This procedure of passing from a homogeneous multivector field to a first-order polydifferential operator can be also understood as a sort of reduction; in the standard case -- a half of a Poisson reduction. A dual version of the above correspondence yields in particular the correspondence between Delta\DeltaDelta-homogeneous symplectic structures on MMM and contact structures on NNN.
Journal of Nonlinear Science, 2008
This paper studies the construction of geometric integrators for nonholonomic systems. We derive ... more This paper studies the construction of geometric integrators for nonholonomic systems. We derive the nonholonomic discrete Euler-Lagrange equations in a setting which permits to deduce geometric integrators for continuous nonholonomic systems (reduced or not). The formalism is given in terms of Lie groupoids, specifying a discrete Lagrangian and a constraint submanifold on it. Additionally, it is necessary to fix a vector subbundle of the Lie algebroid associated to the Lie groupoid. We also discuss the existence of nonholonomic evolution operators in terms of the discrete nonholonomic Legendre transformations and in terms of adequate decompositions of the prolongation of the Lie groupoid. The characterization of the reversibility of the evolution operator and the discrete nonholonomic momentum equation are also considered. Finally, we illustrate with several classical examples the wide range of application of the theory (the discrete nonholonomic constrained particle, the Suslov system, the Chaplygin sleigh, the Veselova system, the rolling ball on a rotating table and the two wheeled planar mobile robot).
Israel Journal of Mathematics, 2003
We study generalized Lie bialgebroids over a single point, that is, generalized Lie bialgebras an... more We study generalized Lie bialgebroids over a single point, that is, generalized Lie bialgebras and we prove that they can be considered as the infinitesimal invariants of Lie groups endowed with a certain type of Jacobi structure. We also propose a method generalizing the Yang-Baxter equation method to obtain generalized Lie bialgebras. Finally, we classify the compact generalized Lie bialgebras.
Journal of Physics A-mathematical and General, 2002
We prove some general results about the relation between the 1-cocycles of an arbitrary Lie algeb... more We prove some general results about the relation between the 1-cocycles of an arbitrary Lie algebroid A over M and the leaves of the Lie algebroid foliation on M associated with A. Using these results, we show that a E 1 (M )-Dirac structure L induces on every leaf F of its characteristic foliation a E 1 (F )-Dirac structure L F , which comes from a precontact structure or from a locally conformal presymplectic structure on F . In addition, we prove that a Dirac structureL on M × R can be obtained from L and we discuss the relation between the leaves of the characteristic foliations of L andL.
Journal of Geometry and Physics, 2001
The notion of a generalized Lie bialgebroid (a generalization of the notion of a Lie bialgebroid)... more The notion of a generalized Lie bialgebroid (a generalization of the notion of a Lie bialgebroid) is introduced in such a way that a Jacobi manifold has associated a canonical generalized Lie bialgebroid. As a kind of converse, we prove that a Jacobi structure can be defined on the base space of a generalized Lie bialgebroid. We also show that it is possible to construct a Lie bialgebroid from a generalized Lie bialgebroid and, as a consequence, we deduce a duality theorem. Finally, some special classes of generalized Lie bialgebroids are considered: triangular generalized Lie bialgebroids and generalized Lie bialgebras. : 17B62, 53D10, 53D17.
Comptes Rendus De L Academie Des Sciences Serie I-mathematique, 2000
We study Jacobi structures on the dual bundle A * to a vector bundle A such that the Jacobi brack... more We study Jacobi structures on the dual bundle A * to a vector bundle A such that the Jacobi bracket of linear functions is again linear and the Jacobi bracket of a linear function and the constant function 1 is a basic function. We prove that a Lie algebroid structure on A and a 1-cocycle φ ∈ Γ(A * ) induce a Jacobi structure on A * satisfying the above conditions. Moreover, we show that this correspondence is a bijection. Finally, we discuss some examples and applications.
Journal of Physics A-mathematical and General, 2004
The notion of homogeneous tensors is discussed. We show that there is a one-to-one correspondence... more The notion of homogeneous tensors is discussed. We show that there is a one-to-one correspondence between multivector fields on a manifold MMM, homogeneous with respect to a vector field Delta\DeltaDelta on MMM, and first-order polydifferential operators on a closed submanifold NNN of codimension 1 such that Delta\DeltaDelta is transversal to NNN. This correspondence relates the Schouten-Nijenhuis bracket of multivector fields on MMM to the Schouten-Jacobi bracket of first-order polydifferential operators on NNN and generalizes the Poissonization of Jacobi manifolds. Actually, it can be viewed as a super-Poissonization. This procedure of passing from a homogeneous multivector field to a first-order polydifferential operator can be also understood as a sort of reduction; in the standard case -- a half of a Poisson reduction. A dual version of the above correspondence yields in particular the correspondence between Delta\DeltaDelta-homogeneous symplectic structures on MMM and contact structures on NNN.
Journal of Nonlinear Science, 2008
This paper studies the construction of geometric integrators for nonholonomic systems. We derive ... more This paper studies the construction of geometric integrators for nonholonomic systems. We derive the nonholonomic discrete Euler-Lagrange equations in a setting which permits to deduce geometric integrators for continuous nonholonomic systems (reduced or not). The formalism is given in terms of Lie groupoids, specifying a discrete Lagrangian and a constraint submanifold on it. Additionally, it is necessary to fix a vector subbundle of the Lie algebroid associated to the Lie groupoid. We also discuss the existence of nonholonomic evolution operators in terms of the discrete nonholonomic Legendre transformations and in terms of adequate decompositions of the prolongation of the Lie groupoid. The characterization of the reversibility of the evolution operator and the discrete nonholonomic momentum equation are also considered. Finally, we illustrate with several classical examples the wide range of application of the theory (the discrete nonholonomic constrained particle, the Suslov system, the Chaplygin sleigh, the Veselova system, the rolling ball on a rotating table and the two wheeled planar mobile robot).
Israel Journal of Mathematics, 2003
We study generalized Lie bialgebroids over a single point, that is, generalized Lie bialgebras an... more We study generalized Lie bialgebroids over a single point, that is, generalized Lie bialgebras and we prove that they can be considered as the infinitesimal invariants of Lie groups endowed with a certain type of Jacobi structure. We also propose a method generalizing the Yang-Baxter equation method to obtain generalized Lie bialgebras. Finally, we classify the compact generalized Lie bialgebras.
Journal of Physics A-mathematical and General, 2002
We prove some general results about the relation between the 1-cocycles of an arbitrary Lie algeb... more We prove some general results about the relation between the 1-cocycles of an arbitrary Lie algebroid A over M and the leaves of the Lie algebroid foliation on M associated with A. Using these results, we show that a E 1 (M )-Dirac structure L induces on every leaf F of its characteristic foliation a E 1 (F )-Dirac structure L F , which comes from a precontact structure or from a locally conformal presymplectic structure on F . In addition, we prove that a Dirac structureL on M × R can be obtained from L and we discuss the relation between the leaves of the characteristic foliations of L andL.