Chen's basic inequalities for hypersurfaces of statistical Riemannian manifolds

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.

Published
2023-02-23