Inequality for Doubly Warped Product Manifolds

Authors: Morteza Faghfouri

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.

Keywords: integral submanifolds, S-space forms, doubly warped product, inequality