Classification of homogeneous strictly pseudoconvex hypersurfaces in \mathbb C³

2019/06/26 by Ilya Kossovskiy, Kossovskiy, Ilya, Alexander V. Loboda +1
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.1906.11345

openalex publication_date 2019/06/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Locally homogeneous strictly pseudoconvex hypersurfaces in \mathbb C² were classified by E. Cartan in 1932. In this work, we complete the classification of locally homogeneous strictly pseudoconvex hypersurfaces in \mathbb C³.

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