Marco Modugno | Università degli Studi di Firenze (University of Florence) (original) (raw)

Papers by Marco Modugno

Research paper thumbnail of Lie derivate of tensors

Quaderni di Matematica, Jan 9, 1978

Research paper thumbnail of On the geometrical structure of shock waves in general relativity

Annales De L Institut Henri Poincare-physique Theorique, Feb 1, 1979

On the geometrical structure of shock waves in general relativity

Research paper thumbnail of The second tangent and cotangent spaces of a manifold

Quaderni di Matematica, Jan 9, 1978

Research paper thumbnail of The cotangent space of a bundle

Quaderni di Matematica, Jan 9, 1978

Research paper thumbnail of Some results on second tangent and cotangent spaces

Quaderni di Matematica, Jan 9, 1978

Research paper thumbnail of Asymptotic deflexion of a light ray in a Kerr field

Lettere Al Nuovo Cimento, Apr 1, 1970

Research paper thumbnail of Connection on a bundle

Quaderni di Matematica, Jan 9, 1978

Research paper thumbnail of Some results on jet spaces

Research paper thumbnail of Algebre implicative

Annali Dell'universita' Di Ferrara, 1968

SuntoIn questa nota si studiano certe algebre connesse con il calcolo implicativo classico e si d... more SuntoIn questa nota si studiano certe algebre connesse con il calcolo implicativo classico e si dimostra per esse un teorema di rappresentazione.SommaireDans cette note on étudie des algèbres jointes au calcul implicatif classique et on démontre pour elles un théorème de représentation.

Research paper thumbnail of Systems of vector valued forms on a fibred manifold and applications to gauge theories

Springer eBooks, Nov 23, 2006

The new concept of "system" over double fibred manifolds is introduced and systems of vector valu... more The new concept of "system" over double fibred manifolds is introduced and systems of vector valued forms and connections are investigated. A graded universal differential calculus for involutive systems induced by the FroliCher-Nijenhuis bracket is shown. The system of overconnections, which projects on a given system of connections of a fibred manifold and on the system of linear connections of the base space, is also presented. A direct formulation of gauge theories and a re-formulation of the lagrangian approach are obtained by means of the graded universal calculus. In the particular case of principal bundles, the standard differential techniques are recovered and new results are shown as well. The present approach, which is based on differential and functorial methods, can provide new hints for field theory. Each notion and result is expressed both in an intrinsic way and by explicit formulas in local coordinates.

Research paper thumbnail of Variational Forms and Relativistic Fields

General Relativity and Gravitation, Volume 1, Jul 1, 1983

Research paper thumbnail of On the algebraic structure on the jet prolongations of fibred manifolds

Czechoslovak Mathematical Journal, 1990

Institute of Mathematics of the Czech Academy of Sciences provides access to digitized documents ... more Institute of Mathematics of the Czech Academy of Sciences provides access to digitized documents strictly for personal use. Each copy of any part of this document must contain these Terms of use.

Research paper thumbnail of On the geometric structure of gauge theories

Journal of Mathematical Physics, Jun 1, 1985

In the framework of the adjoint forms over the jet spaces of connections and using a canonical je... more In the framework of the adjoint forms over the jet spaces of connections and using a canonical jet shift differential, we give a geometrical interpretation of the Yang–Mills equations both in a direct and Lagrangian formulation.

Research paper thumbnail of Torsion and Ricci tensor for non-linear connections

Differential Geometry and Its Applications, Sep 1, 1991

Institute of Mathematics of the Czech Academy of Sciences provides access to digitized documents ... more Institute of Mathematics of the Czech Academy of Sciences provides access to digitized documents strictly for personal use. Each copy of any part of this document must contain these Terms of use.

Research paper thumbnail of Fibered Spaces, Jet Spaces and Connections for Field Theories

Research paper thumbnail of Natural maps on the iterated jet prolongation of a fibred manifold

Annali di Matematica Pura ed Applicata, Dec 1, 1991

Research paper thumbnail of Jet involution and prolongations of connections

Časopis pro pěstování matematiky, 1989

Institute of Mathematics of the Academy of Sciences of the Czech Republic provides access to digi... more Institute of Mathematics of the Academy of Sciences of the Czech Republic provides access to digitized documents strictly for personal use. Each copy of any part of this document must contain these Terms of use. This paper has been digitized, optimized for electronic delivery and stamped with digital signature within the project DML-CZ: The Czech Digital Mathematics Library http://project.dml.cz

Research paper thumbnail of New operators on jet spaces

Annales de la Faculté des Sciences de Toulouse, 1983

Annales de la faculté des sciences de Toulouse 5 e série, tome 5, n o 2 (1983), p. 171-198 <http:... more Annales de la faculté des sciences de Toulouse 5 e série, tome 5, n o 2 (1983), p. 171-198 <http://www.numdam.org/item?id=AFST_1983_5_5_2_171_0> © Université Paul Sabatier, 1983, tous droits réservés. L'accès aux archives de la revue « Annales de la faculté des sciences de Toulouse » (http://picard.ups-tlse.fr/~annales/) implique l'accord avec les conditions générales d'utilisation (http://www.numdam.org/conditions). Toute utilisation commerciale ou impression systématique est constitutive d'une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright. Article numérisé dans le cadre du programme Numérisation de documents anciens mathématiques http://www.numdam.org/

Research paper thumbnail of On some properties of the gravitational double 2 form, W

Research paper thumbnail of Formulation of analytical mechanics in general relativity

Annales De L Institut Henri Poincare-physique Theorique, Sep 1, 1974

L'accès aux archives de la revue « Annales de l'I. H. P., section A » implique l'accord avec les ... more L'accès aux archives de la revue « Annales de l'I. H. P., section A » implique l'accord avec les conditions générales d'utilisation (http://www.numdam. org/conditions). Toute utilisation commerciale ou impression systématique est constitutive d'une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright. Article numérisé dans le cadre du programme Numérisation de documents anciens mathématiques http://www.numdam.org/ p. 147

Research paper thumbnail of Lie derivate of tensors

Quaderni di Matematica, Jan 9, 1978

Research paper thumbnail of On the geometrical structure of shock waves in general relativity

Annales De L Institut Henri Poincare-physique Theorique, Feb 1, 1979

On the geometrical structure of shock waves in general relativity

Research paper thumbnail of The second tangent and cotangent spaces of a manifold

Quaderni di Matematica, Jan 9, 1978

Research paper thumbnail of The cotangent space of a bundle

Quaderni di Matematica, Jan 9, 1978

Research paper thumbnail of Some results on second tangent and cotangent spaces

Quaderni di Matematica, Jan 9, 1978

Research paper thumbnail of Asymptotic deflexion of a light ray in a Kerr field

Lettere Al Nuovo Cimento, Apr 1, 1970

Research paper thumbnail of Connection on a bundle

Quaderni di Matematica, Jan 9, 1978

Research paper thumbnail of Some results on jet spaces

Research paper thumbnail of Algebre implicative

Annali Dell'universita' Di Ferrara, 1968

SuntoIn questa nota si studiano certe algebre connesse con il calcolo implicativo classico e si d... more SuntoIn questa nota si studiano certe algebre connesse con il calcolo implicativo classico e si dimostra per esse un teorema di rappresentazione.SommaireDans cette note on étudie des algèbres jointes au calcul implicatif classique et on démontre pour elles un théorème de représentation.

Research paper thumbnail of Systems of vector valued forms on a fibred manifold and applications to gauge theories

Springer eBooks, Nov 23, 2006

The new concept of "system" over double fibred manifolds is introduced and systems of vector valu... more The new concept of "system" over double fibred manifolds is introduced and systems of vector valued forms and connections are investigated. A graded universal differential calculus for involutive systems induced by the FroliCher-Nijenhuis bracket is shown. The system of overconnections, which projects on a given system of connections of a fibred manifold and on the system of linear connections of the base space, is also presented. A direct formulation of gauge theories and a re-formulation of the lagrangian approach are obtained by means of the graded universal calculus. In the particular case of principal bundles, the standard differential techniques are recovered and new results are shown as well. The present approach, which is based on differential and functorial methods, can provide new hints for field theory. Each notion and result is expressed both in an intrinsic way and by explicit formulas in local coordinates.

Research paper thumbnail of Variational Forms and Relativistic Fields

General Relativity and Gravitation, Volume 1, Jul 1, 1983

Research paper thumbnail of On the algebraic structure on the jet prolongations of fibred manifolds

Czechoslovak Mathematical Journal, 1990

Institute of Mathematics of the Czech Academy of Sciences provides access to digitized documents ... more Institute of Mathematics of the Czech Academy of Sciences provides access to digitized documents strictly for personal use. Each copy of any part of this document must contain these Terms of use.

Research paper thumbnail of On the geometric structure of gauge theories

Journal of Mathematical Physics, Jun 1, 1985

In the framework of the adjoint forms over the jet spaces of connections and using a canonical je... more In the framework of the adjoint forms over the jet spaces of connections and using a canonical jet shift differential, we give a geometrical interpretation of the Yang–Mills equations both in a direct and Lagrangian formulation.

Research paper thumbnail of Torsion and Ricci tensor for non-linear connections

Differential Geometry and Its Applications, Sep 1, 1991

Institute of Mathematics of the Czech Academy of Sciences provides access to digitized documents ... more Institute of Mathematics of the Czech Academy of Sciences provides access to digitized documents strictly for personal use. Each copy of any part of this document must contain these Terms of use.

Research paper thumbnail of Fibered Spaces, Jet Spaces and Connections for Field Theories

Research paper thumbnail of Natural maps on the iterated jet prolongation of a fibred manifold

Annali di Matematica Pura ed Applicata, Dec 1, 1991

Research paper thumbnail of Jet involution and prolongations of connections

Časopis pro pěstování matematiky, 1989

Institute of Mathematics of the Academy of Sciences of the Czech Republic provides access to digi... more Institute of Mathematics of the Academy of Sciences of the Czech Republic provides access to digitized documents strictly for personal use. Each copy of any part of this document must contain these Terms of use. This paper has been digitized, optimized for electronic delivery and stamped with digital signature within the project DML-CZ: The Czech Digital Mathematics Library http://project.dml.cz

Research paper thumbnail of New operators on jet spaces

Annales de la Faculté des Sciences de Toulouse, 1983

Annales de la faculté des sciences de Toulouse 5 e série, tome 5, n o 2 (1983), p. 171-198 <http:... more Annales de la faculté des sciences de Toulouse 5 e série, tome 5, n o 2 (1983), p. 171-198 <http://www.numdam.org/item?id=AFST_1983_5_5_2_171_0> © Université Paul Sabatier, 1983, tous droits réservés. L'accès aux archives de la revue « Annales de la faculté des sciences de Toulouse » (http://picard.ups-tlse.fr/~annales/) implique l'accord avec les conditions générales d'utilisation (http://www.numdam.org/conditions). Toute utilisation commerciale ou impression systématique est constitutive d'une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright. Article numérisé dans le cadre du programme Numérisation de documents anciens mathématiques http://www.numdam.org/

Research paper thumbnail of On some properties of the gravitational double 2 form, W

Research paper thumbnail of Formulation of analytical mechanics in general relativity

Annales De L Institut Henri Poincare-physique Theorique, Sep 1, 1974

L'accès aux archives de la revue « Annales de l'I. H. P., section A » implique l'accord avec les ... more L'accès aux archives de la revue « Annales de l'I. H. P., section A » implique l'accord avec les conditions générales d'utilisation (http://www.numdam. org/conditions). Toute utilisation commerciale ou impression systématique est constitutive d'une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright. Article numérisé dans le cadre du programme Numérisation de documents anciens mathématiques http://www.numdam.org/ p. 147