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arXiv · 1310.6328

On doubly warped product submanifolds of Generalized $(κ,μ)$-Space Forms

Morteza Faghfouri·Narges Ghaffarzadeh
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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 $(κ,μ)$-space forms.

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Morteza Faghfouri, Narges Ghaffarzadeh. 2013-11-02. On doubly warped product submanifolds of Generalized $(κ,μ)$-Space Forms. https://doi.org/10.1007/s13370-014-0299-y

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