Mikami–Weinstein Type Theorem for Cosymplectic Groupoid Actions

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.