Strongly 2-Hopf hypersurfaces in complex projective and hyperbolic\n planes

2016/09/07 by José Carlos Díaz-Ramos, Diaz-Ramos, Jose Carlos, Miguel Domínguez-Vázquez +3
Mathematics · #53B25 #53C42 #57S15 #57S20 #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1609.01978

openalex publication_date 2016/09/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a geometric characterization of certain hypersurfaces of\ncohomogeneity one in the complex projective and hyperbolic planes. We also\nobtain some partial classifications of austere hypersurfaces and of Levi-flat\nhypersurfaces with constant mean curvature in these spaces.\n

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