Geometrization of the scleronomic Riemannian mechanical systems (original) (raw)

A note on Newtonian, Lagrangian and Hamiltonian dynamical systems in Riemannian manifolds

Ruslan Sharipov

2001

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Mechanics Systems on Para-Kaehlerian Manifolds of Constant J-Sectional Curvature

mehmet tekkoyun

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16. Paper: Z. Kasap, Mechanical Equations on An Almost Kähler Manifolds for Moving Objects, Asian Journal of Mathematics and Physics, (ISSN:2308-3131), (2015), 1-13.

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Ovidiu Calin, Der-chen Chang

Communications in Information and Systems, 2010

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12. Paper: 3. SCI-EXPANDED, Z. Kasap, Weyl-Euler-Lagrange Equations of Motion on Flat Manifold, Advances in Mathematical Physics, (ISSN:1687-9120),, http://dx.doi.org/10.1155/2015/808016, (2015), 1-11.

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José Fernando Cariñena

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On the geometry of non-holonomic Lagrangian systems

David Martín de Diego

Journal of Mathematical Physics, 1996

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8. Paper: Z. Kasap, Euler-Lagrange Equations of Moving Objects on Flat Manifold, Balkan Journal of Mathematics, (ISSN:2147-6187), BALKANJM, 02, (2014), 151-161.

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On classical mechanical systems with non-linear constraints

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On the Differential Equation Governing Torqued Vector Fields on a Riemannian Manifold

Sharief Deshmukh

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Cli ord and Riemannian - Finsler Structures in Geometric Mechanics and Gravity

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The Riemannian geometry of orbit spaces. The metric, geodesics, and integrable systems

Peter Michor

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A geometrical framework for the study of non-holonomic Lagrangian systems: II

F. Cantrijn

Journal of Physics A: Mathematical and General, 1996

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Geometrical structures associated to rheonomic first order dynamical systems

Monica Maria Ciobanu

mathem.pub.ro

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Geometric mechanics, Lagrangian reduction, and nonholonomic systems

Tudor Ratiu

2001

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Nonholonomic systems and the geometry of constraints

Marcelo Kobayashi

Qualitative Theory of Dynamical Systems, 2004

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The Classical Isotropic bi-Dimensional Oscilator in the Eisenhart Formulation of Classical Mechanics

Luis A. Nunez

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Linear almost Poisson structures and Hamilton-Jacobi equation. Applications to nonholonomic Mechanics

David Martín de Diego

arXiv (Cornell University), 2008

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21. Paper: E. Ozyilmaz, Z. Kasap, Mechanics Equations of Frenet-Serret Frame on Minkowski Space, International Journal of Research and Reviews in Applied Sciences, (ISSN: 2076-734X), Vol. 26 (2), (2016), 90-98.

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A geometrical framework for the study of non-holonomic Lagrangian systems

F. Cantrijn

Journal of Physics A: Mathematical and General, 1995

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Riemannian Geometry: Definitions, Pictures, and Results

Adam Marsh

arXiv (Cornell University), 2014

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15. Paper: Z. Kasap, Euler-Lagrange Equationson on Almost Paracontact Metric Manifolds, European International Journal of Science and Humanities (EIJSH), (ISSN:2420-587X), Vol 1, 8, (2015), 1-12.

Zeki Kasap

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On the Homogeneous Geometrical Model of a Riemannian Space

Adrian Sandovici

2000

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Lagrangian and Hamiltonian Dynamics on Para-Kaehlerian Space Form

mehmet tekkoyun

2009

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On the Hamiltonian formulation of nonholonomic mechanical systems

Arjan Van Der Schaft

Reports on Mathematical Physics, 1994

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Lagrangian and Hamiltonian Mechanical Systems on Para-Quaternionic Kaehler Manifolds

Mehmet TEKKOYUN

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Geometric Structures of the Classical General Relativistic Phase Space

Marco Modugno, Josef Janyska

International Journal of Geometric Methods in Modern Physics, 2008

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7. Paper: Z. Kasap, Euler-Lagrange Equations of Moving Objects on Flat Manifold, Balkan Journal of Mathematics, (ISSN:2147-6187), BALKANJM, 02, (2014), 151-161.

Zeki Kasap

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Induced Symplectic Structures and Holonomic Lagrangian Mechanical Systems

Hiroaki Yoshimura

Journal of System Design and Dynamics, 2008

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On nonholonomic and vakonomic dynamics of mechanical systems with nonintegrable constraints

Franco Cardin

Journal of Geometry and Physics, 1996

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Clifford and Riemann-Finsler structures in geometric mechanics and gravity

Sergiu Vacaru

arXiv: General Relativity and Quantum Cosmology, 2005

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