On the Ricci tensor and the generalized Tanaka-Webster connection of real hypersurfaces in a complex space form

We prove that the Ricci tensor with respect to the generalized Tanaka-Webster connection of a real hypersurface with the almost contact structure (eta, phi, xi, g) in a complex space form of complex dimension n >= 3 satisfies (S) over cap (X, phi Y) = lambda(g)(X, phi Y) for any vector field X and Y, lambda being a function, if and only if the real hypersurface is locally congruent to some type (A) hypersurface.ArticlePUBLICATIONES MATHEMATICAE-DEBRECEN. 82(3-4):531-548 (2013)journal articl

Ricci tensor of Hopf hypersurfaces in a complex space form

ArticleInternational Electronic Journal of Geometry 11(2) : 1-7(2018)journal articl

On the Ricci tensor and the generalized Tanaka--Webster connection of real hypersurfaces in a complex space form

We prove that the Ricci tensor with respect to the generalized Tanaka-Webster connection of a real hypersurface with the almost contact structure (eta, phi, xi, g) in a complex space form of complex dimension n >= 3 satisfies (S) over cap (X, phi Y) = lambda(g)(X, phi Y) for any vector field X and Y, lambda being a function, if and only if the real hypersurface is locally congruent to some type (A) hypersurface

Chen Inequalities for Statistical Submanifolds of Kähler-Like Statistical Manifolds

We consider Kähler-like statistical manifolds, whose curvature tensor field satisfies a natural condition. For their statistical submanifolds, we prove a Chen first inequality and a Chen inequality for the invariant δ(2, 2).ArticleMathematics.7(12):1202(2019)journal articl