On the Riemannian Curvature Invariants of Totally eta-Umbilical Real Hypersurfaces of a Complex Space Form

Year 2021, Volume: 2 Issue: 1, 30 - 41, 29.01.2021

Özlem Deniz , Mehmet Gülbahar

Abstract

Some relations involving the Ricci and scalar curvatures of totally $\eta$-umbilical real hypersurfaces of a complex space form are examined. With the help of these relations, some results on totally $\eta$-umbilical real hypersurfaces of a complex space form are given. Furthermore, these results are discussed on totally $\eta$-umbilical real hypersurfaces of the $6$-dimensional complex space form. Some characterizations dealing totally $\eta$-umbilical real hypersurfaces of the $6$-dimensional complex space form are obtained.

Keywords

Curvature, Hypersurface, Complex space form

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