Cosymplectic groupoids
Symplectic Geometry
2023-08-16 v2 Differential Geometry
Abstract
A cosymplectic groupoid is a Lie groupoid with a multiplicative cosymplectic structure. We provide several structural results for cosymplectic groupoids and we discuss the relationship between cosymplectic groupoids, Poisson groupoids of corank 1, and oversymplectic groupoids of corank 1.
Keywords
Cite
@article{arxiv.2304.06163,
title = {Cosymplectic groupoids},
author = {Rui Loja Fernandes and David Iglesias Ponte},
journal= {arXiv preprint arXiv:2304.06163},
year = {2023}
}
Comments
27 pages; An error in section 4, spotted by the referee, was corrected. Other minor issues and typos were fixed. Final version accepted for publication in Journal of Geometry and Physics