On doubly warped product submanifolds of Generalized $(\kappa ,\mu )$-Space Forms

Abstract

In this paper we establish a general inequality involving the Laplacian of the warping functions and the squared mean curvature of any doubly warped product isometrically immersed in a Riemannian manifold. Moreover, we obtain some geometric inequalities for C-totally real doubly warped product submanifolds of generalized $(\kappa ,\mu )$-space forms.

References in corpus (1)

• On doubly warped product immersions

Cited by in corpus (1)

• On contact pseudo-metric manifolds satisfying a nullity condition