- Fundamentals of Contemporary Mathematical Sciences
- Vol: 2 Issue: 1
- On the Riemannian Curvature Invariants of Totally eta-Umbilical Real Hypersurfaces of a Complex Spac...
On the Riemannian Curvature Invariants of Totally eta-Umbilical Real Hypersurfaces of a Complex Space Form
Authors : Özlem Deniz, Mehmet Gülbahar
Pages : 30-41
View : 8 | Download : 4
Publication Date : 2021-01-29
Article Type : Research
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