4 papers
Godbillon-Vey classes of Lie subalgebroids
Shuhei Yonehara
The Godbillon--Vey class is a secondary characteristic class which is defined for regular foliations and has been studied extensively. In this paper, we fix a Lie algebroid and rel…
Godbillon-Vey classes of regular Jacobi manifolds
Shuhei Yonehara
The notion of a Jacobi manifold is a natural generalization of that of a Poisson manifold. A Jacobi manifold has a natural foliation in which each leaf has either a contact structu…
Mikami-Weinstein Type Theorem for Cosymplectic Groupoid Actions
Shuhei Yonehara
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…
Reduction of coKähler and 3-cosymplectic manifolds
Shuhei Yonehara
The notions of coKähler manifolds and 3-cosymplectic manifolds are odd-dimensional analogues of the ones of Kähler manifolds and hyperKähler manifolds, respectively. In this paper,…