Mikami-Weinstein Type Theorem for Cosymplectic Groupoid Actions

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2025
• Main Author: Yonehara, Shuhei
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2025
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/214095
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Mikami-Weinstein Type Theorem for Cosymplectic Groupoid Actions. Shuhei Yonehara. SIGMA 21 (2025), 070, 11 pages

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 that is a natural...