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On doubly warped product submanifolds of generalized \((\kappa ,\mu )\)-space forms

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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 \((\kappa ,\mu )\)-space forms.

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Authors and Affiliations

  1. Faculty of mathematics, University of Tabriz, Tabriz, Iran

    Morteza Faghfouri & Narges Ghaffarzadeh

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  1. Morteza Faghfouri
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  2. Narges Ghaffarzadeh
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Correspondence to Morteza Faghfouri.

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Faghfouri, M., Ghaffarzadeh, N. On doubly warped product submanifolds of generalized \((\kappa ,\mu )\)-space forms. Afr. Mat. 26, 1443–1455 (2015). https://doi.org/10.1007/s13370-014-0299-y

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  • DOI: https://doi.org/10.1007/s13370-014-0299-y

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