Mechanical Systems on Almost Para/Pseudo-Kähler–Weyl Manifolds (original) (raw)

Hamiltonian Equations of Kähler-Einstein Manifolds with Equal Kähler Angles

The paper aims to introduce Hamiltonian formalism for mechanical systems using Kähler-Einstein manifolds with equal Kähler angles, which represent an interesting multidisciplinary field of research. Also, solutions of these equations will be made using the computer program Maple and the geometrical-physical results related to on Kähler-Einstein mechanical systems are also to be issued.

Hamiltonian Equations On Kähler-Einstein Fano- Weyl Manifolds

The paper aims to introduce Hamiltonian equations for mechanical systems using Kä hler angles on Kä hler-Einstein Fano-Weyl manifold which represent an interesting multidisciplinary field of research. Also, solutions of these equations will be made using the computer program with Maple and the geometrical-physical results related to on Kä hler-Einstein Fano-Weyl mechanical systems are also to be issued.

Mechanical Systems on an Almost Kähler Model of a Finsler Manifold

International Journal of Geometric Methods in Modern Physics, 2013

In this study, we present a new analogue of Euler-Lagrange and Hamilton equations on an almost Kähler model of a Finsler manifold. Also, we give some corollories about the related mechanical systems and equations.

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

2001

Newtonian, Lagrangian, and Hamiltonian dynamical systems are well formalized mathematically. They give rise to geometric structures describing motion of a point in smooth manifolds. Riemannian metric is a different geometric structure formalizing concepts of length and angle. The interplay of Riemannian metric and its metric connection with mechanical structures produces some features which are absent in the case of general (non-Riemannian) manifolds. The aim of present paper is to discuss these features and develop special language for describing Newtonian, Lagrangian, and Hamiltonian dynamical systems in Riemannian manifolds.

Higher order complex Lagrangian and Hamiltonian mechanics systems

Physics Letters A, 2006

In this Letter, it was present higher order vertical and complete lifts of Euler-Lagrange and Hamiltonian equations introduced on Kählerian manifold to its extensions. Finally, it was discussed differential geometric and physical results for the higher order Lagrangian and Hamiltonian mechanical systems obtained on the extended Kählerian manifolds.

Hamilton Mechanical Equations with Four Almost Complex Structures on Riemannian Geometry

Abstract: The study concerns the Hamilton Mechanical Equations with Four Almost Complex Structures on Riemannian geometry. The four complex structures have been derived also important applications of Hamiltonian mechanical systems of the notions of Riemannian mentioned. Finally achieved that Almost complex structures have this systems in Mechanics and Physical Fields as well as in differential geometry