On doubly warped product submanifolds of Generalized $(\kappa,\mu)$-Space Forms
Differential Geometry
2015-09-30 v2
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 -space forms.
Keywords
Cite
@article{arxiv.1310.6328,
title = {On doubly warped product submanifolds of Generalized $(\kappa,\mu)$-Space Forms},
author = {Morteza Faghfouri and Narges Ghaffarzadeh},
journal= {arXiv preprint arXiv:1310.6328},
year = {2015}
}