Godbillon-Vey classes of regular Jacobi manifolds
Differential Geometry
2026-05-07 v3 Symplectic Geometry
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.
Keywords
Cite
@article{arxiv.2412.05257,
title = {Godbillon-Vey classes of regular Jacobi manifolds},
author = {Shuhei Yonehara},
journal= {arXiv preprint arXiv:2412.05257},
year = {2026}
}
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15 pages