English

Mikami-Weinstein Type Theorem for Cosymplectic Groupoid Actions

Symplectic Geometry 2025-08-19 v3 Differential Geometry

Abstract

The Mikami-Weinstein theorem is a generalization of the classical Marsden-Weinstein-Meyer symplectic reduction theorem to the case of symplectic groupoid actions. In this paper, we introduce the notion of a cosymplectic groupoid action on a cosymplectic manifold and prove a theorem which is a natural analogue of the Mikami-Weinstein theorem.

Keywords

Cite

@article{arxiv.2410.05846,
  title  = {Mikami-Weinstein Type Theorem for Cosymplectic Groupoid Actions},
  author = {Shuhei Yonehara},
  journal= {arXiv preprint arXiv:2410.05846},
  year   = {2025}
}
R2 v1 2026-06-28T19:12:41.843Z