Conditions of parallelism of *-Ricci tensor of three dimensional real hypersurfaces in non-flat complex space forms

2016/01/13 by Kaimakamis, Georgios, Panagiotidou, Konstantina
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1601.03136

Abstract

This paper focuses on the study of three dimensional real hypersurfaces in non-flat complex space forms whose ^*-Ricci tensor satisfies conditions of parallelism. More precisely, extension of existing results concerning real hypersurfaces with vanishing, semi-parallel and pseudo-parallel ^*-Ricci tensor in case of ambient space being the complex hyperbolic space are provided. Furthermore, new results concerning ξ-parallelism of ^*-Ricci tensor of real hypersurfaces in non-flat complex space forms are presented.

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