Infinitesimal Poisson Algebras and Linearization of Hamiltonian Systems
Differential Geometry
2021-08-04 v2
Abstract
Using the notion of a contravariant derivative, we give some algebraic and geometric characterizations of Poisson algebras associated to the infinitesimal data of Poisson submanifolds. We show that such a class of Poisson algebras provides a suitable framework for the study of the Hamiltonization problem for the linearized dynamics along Poisson submanifolds.
Keywords
Cite
@article{arxiv.2004.04191,
title = {Infinitesimal Poisson Algebras and Linearization of Hamiltonian Systems},
author = {D. García-Beltrán and J. C. Ruíz-Pantaleón and Yu. Vorobiev},
journal= {arXiv preprint arXiv:2004.04191},
year = {2021}
}
Comments
14 pages