Real Hypersurfaces Equipped with $xi$-parallel Structure Jacobi Operator in CP^2 or CH^2

Details Real Hypersurfaces Equipped with $xi$-parallel Structure Jacobi Operator in CP^2 or CH^2 Real Hypersurfaces Equipped with $xi$-parallel Structure Jacobi Operator in CP^2 or CH^2

2012-01-13

arxiv.org/abs/1201.2910v1

Mathematics

Differential Geometry

Scientific paper

We study three dimensional real hypersurfaces in CP^2 and CH^2 equipped with
$xi$-parallel structure Jacobi operator. We prove that they are Hopf
hypersurfaces and if additional $\alpha\neq0$, we classify them.

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