Cosymplectic groupoids
arXiv:2304.06163 · doi:10.1016/j.geomphys.2023.104928
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.
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