Volume no :3, Issue no: 2, December (2015)

HAMILTON EQUATION ON ALMOST PSEUDO KÄHLER-WEYL MANIFOLDS FOR MECHANICAL SYSTEMS

Author's: Zeki Kasap
Pages: [119] - [135]
Received Date: December 12, 2015
Submitted by: Jianqiang Gao.
DOI: http://dx.doi.org/10.18642/ijamml_7100121603

Abstract

This paper aims to present Hamiltonian formalism for mechanical systems using pseudo-Kähler Weyl manifolds, which represent an interesting multidisciplinary field of research. As a result of this study, partial differential equations will be obtained for movement of objects in space and solutions of these equations will be made by using the Maple computer program. In this study, some geometrical, relativistic, mechanical, and physical results related to pseudo-Kähler Weyl mechanical systems are also given.

Keywords

Kähler Weyl geometry, Hamiltonian systems, conformal, dynamical systems.