Chen's basic inequalities for hypersurfaces of statistical Riemannian manifolds

Authors

Keywords:

Curvature, Statistical Riemannian manifold, Hypersurface

Abstract

Some basic equalities and inequalities involving the Riemannian curvature invariants for hypersurfaces of statistical Riemannian manifolds are presented. With the help of these relations, the necessary conditions for these hypersurfaces to be total geodesic, total umbilical, or minimal have been obtained.

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Published

2023-02-23

How to Cite

Erkan, E., & Gülbahar, M. (2023). Chen’s basic inequalities for hypersurfaces of statistical Riemannian manifolds. International Journal of Maps in Mathematics, 6(1), 37–53. Retrieved from http://journalmim.com/index.php/journalMIM/article/view/128