On Locally Conformally Cosymplectic Hamiltonian Dynamics and Hamilton-Jacobi Theory
Differential Geometry
2023-02-01 v1
Abstract
Cosymplectic geometry has been proven to be a very useful geometric background to describe time-dependent Hamiltonian dynamics. In this work, we address the globalization problem of locally cosymplectic Hamiltonian dynamics that failed to be globally defined. We investigate both the geometry of locally conformally cosymplectic (abbreviated as LCC) manifolds and the Hamiltonian dynamics constructed on such LCC manifolds. Further, we provide a geometric Hamilton-Jacobi theory on this geometric framework.
Keywords
Cite
@article{arxiv.2205.13329,
title = {On Locally Conformally Cosymplectic Hamiltonian Dynamics and Hamilton-Jacobi Theory},
author = {Begüm Ateşli and Oğul Esen and Manuel de León and Cristina Sardón},
journal= {arXiv preprint arXiv:2205.13329},
year = {2023}
}
Comments
52 pages, 3 tables