Invariants of contact sub-pseudo-Riemannian structures and Einstein-Weyl geometry

2015/03/23 by Marek Grochowski, Grochowski, Marek, Wojciech Kryński +2
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #math.DG

paper · pdf · doi:10.48550/arxiv.1503.06868

arxiv created 2015/03/23 · openalex publication_date 2015/03/23 · arxiv updated 2015/03/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider local geometry of sub-pseudo-Riemannian structures on contact manifolds. We construct fundamental invariants of the structures and show that the structures give rise to Einstein-Weyl geometries in dimension 3, provided that certain additional conditions are satisfied.

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