Real Hypersurfaces Equipped with xi-parallel Structure Jacobi Operator in CP² or CH²

2012/01/13 by K. Panagiotidou, Panagiotidou, K., Ph. J. Xenos +1
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #math.DG

paper · pdf · doi:10.48550/arxiv.1201.2910

arxiv created 2012/01/13 · arxiv updated 2012/09/03

Abstract

We study three dimensional real hypersurfaces in CP² and CH² equipped with xi-parallel structure Jacobi operator. We prove that they are Hopf hypersurfaces and if additional α≠0, we classify them.

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