English

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

Differential Geometry 2012-09-04 v1

Abstract

We study three dimensional real hypersurfaces in CP^2 and CH^2 equipped with xixi-parallel structure Jacobi operator. We prove that they are Hopf hypersurfaces and if additional α0\alpha\neq0, we classify them.

Keywords

Cite

@article{arxiv.1201.2910,
  title  = {Real Hypersurfaces Equipped with $xi$-parallel Structure Jacobi Operator in CP^2 or CH^2},
  author = {K. Panagiotidou and Ph. J. Xenos},
  journal= {arXiv preprint arXiv:1201.2910},
  year   = {2012}
}
R2 v1 2026-06-21T20:04:24.708Z