Real Hypersurfaces in CP² AND CH² whose structure Jacobi operator is Lie D-parallel

2012/01/12 by Κωνσταντίνα Παναγιωτίδου, K. Panagiotidou, Panagiotidou, K. +2 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.DG

paper · pdf · doi:10.48550/arxiv.1201.2540

arxiv created 2012/01/12 · openalex publication_date 2012/01/12 · arxiv updated 2012/01/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove the non-existence of real hypersurfaces in CP² and CH² whose structure Jacobi operator is Lie D-parallel.

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• The structure Jacobi operator and the shape operator of real hypersurfaces in CP² and CH²

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