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Invariant submanifolds of generalized Sasakian-space-forms
Journal article   Peer reviewed

Invariant submanifolds of generalized Sasakian-space-forms

Shyamal Kumar Hui, Siraj Uddin, ALi H. Alkhaldi and Pradip Mandal
International journal of geometric methods in modern physics, Vol.15(9), p.1850149
09/2018

Abstract

This paper deals with the study of invariant submanifolds of generalized Sasakian-space-forms with respect to Levi-Civita connection as well as semi-symmetric metric connection. We provide an example of such submanifolds and obtain many new results including the necessary and sufficient conditions under which the submanifolds are totally geodesic. The Ricci solitons of such submanifolds are also studied.

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