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arXiv · 2412.05257

Godbillon-Vey classes of regular Jacobi manifolds

Shuhei Yonehara
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Abstract

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 structure or a locally conformal symplectic structure. In this paper, we study a characteristic class called the Godbillon-Vey class for Jacobi manifolds with regular foliation and express it explicitly in terms of Jacobi structures.

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Shuhei Yonehara. 2024-12-06. Godbillon-Vey classes of regular Jacobi manifolds. https://arxiv.org/abs/2412.05257

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