2014/11/21 by Yang Huang, Huang, Yang
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Advanced Differential Geometry Research #FOS: Mathematics #Geometric Analysis and Curvature Flows #Symplectic Geometry (math.SG)
paper · pdf · doi:10.48550/arxiv.1411.5870
openalex publication_date 2014/11/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we show that the singular locus of a Legendrian foliation as defined in [Hua13] is a compact submanifold whose connected components are of codimension at most two. As a consequence, given any closed (n+1)-dimensional coisotropic submanifold W in a contact (2n+1)-manifold, the contact structure in a sufficiently small neighborhood of W is uniquely determined by the characteristic (Legendrian) foliation.