Symplectic reduction and a Darboux-Moser-Weinstein theorem for Lie algebroids
Symplectic Geometry
2023-11-27 v2 Differential Geometry
Abstract
We extend the Marsden-Weinstein reduction theorem and the Darboux-Moser-Weinstein theorem to symplectic Lie algebroids. We also obtain a coisotropic embedding theorem for symplectic Lie algebroids.
Keywords
Cite
@article{arxiv.2211.13288,
title = {Symplectic reduction and a Darboux-Moser-Weinstein theorem for Lie algebroids},
author = {Yi Lin and Yiannis Loizides and Reyer Sjamaar and Yanli Song},
journal= {arXiv preprint arXiv:2211.13288},
year = {2023}
}
Comments
42 pages, references added, errors in section 5 corrected