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

K. Panagiotidou; Ph. J. Xenos

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arXiv · 1201.2910

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

K. Panagiotidou·Ph. J. Xenos

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Abstract

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 $α\neq0$, we classify them.

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BibTeX RIS

K. Panagiotidou, Ph. J. Xenos. 2012-01-13. Real Hypersurfaces Equipped with $xi$-parallel Structure Jacobi Operator in CP^2 or CH^2. https://arxiv.org/abs/1201.2910

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