Unimodularity and invariant volume forms for Hamiltonian dynamics on coisotropic Poisson homogeneous spaces
Differential Geometry
2024-11-19 v2 Mathematical Physics
math.MP
Abstract
In this paper, we introduce the notion of a multiplicative unimodularity for a coisotropic Poisson homogeneous space. Then, we discuss the unimodularity and the multiplicative unimodularity for these spaces and the existence of an invariant volume form for explicit Hamiltonian systems on such spaces. Several interesting examples illustrating the theoretical results are also presented.
Keywords
Cite
@article{arxiv.2408.14091,
title = {Unimodularity and invariant volume forms for Hamiltonian dynamics on coisotropic Poisson homogeneous spaces},
author = {Ivan Gutierrez-Sagredo and David Iglesias Ponte and Juan Carlos Marrero and Edith Padrón},
journal= {arXiv preprint arXiv:2408.14091},
year = {2024}
}
Comments
36 pages