Canonical Cartan connection for 5-dimensional CR-manifolds belonging to general class \sf III₂

2014/05/05 by Samuel Pocchiola, Pocchiola, Samuel
Mathematics · #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1405.1342

openalex publication_date 2014/05/05 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28

Abstract

We study the equivalence problem for CR-manifolds belonging to general class III₂, i.e. the 5-dimensional CR-manifolds of CR-dimension 1 and codimension 3 whose CR-bundle satisfies a certain degeneracy condition. For such a CR-manifold M, we construct a canonical Cartan connection on a 6-dimensional principal bundle P on M. This provides a complete set of biholomorphic invariants for M.

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