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Submanifolds of generalized (k,mu)-space-forms
Journal article   Peer reviewed

Submanifolds of generalized (k,mu)-space-forms

Shyamal Kumar Hui, Siraj Uddin and Pradip Mandal
Periodica mathematica Hungarica, Vol.77(2), pp.329-339
01/12/2018
DOI: https://doi.org/10.1007/s10998-018-0248-x

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we have studied submanifolds especially, totally umbilical submanifolds of generalized (k, mu)-space-forms. We have found a necessary and sufficient condition for such submanifolds to be either invariant or anti-invariant. It is also shown that every totally umbilical submanifold of a generalized (k, mu)-space-form is a pseudo quasi-Einstein manifold.

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