2019arXiv (Cornell University)Open access

Invariant Submanifolds of Generalized Sasakian-Space-Forms

D. G. Prakasha, P. Veeresha, İ̇nan Ünal

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Abstract

The object of this paper is to study the invariant submanifolds of generalized Sasakian-space-forms. Here, we obtain some equivalent conditions for an invariant submanifold of a generalized Sasakian-space-forms to be totally geodesic.

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What this paper is about

The object of this paper is to study the invariant submanifolds of generalized Sasakian-space-forms. Here, we obtain some equivalent conditions for an invariant submanifold of a generalized Sasakian-space-forms to be totally geodesic.

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Available abstract

The object of this paper is to study the invariant submanifolds of generalized Sasakian-space-forms. Here, we obtain some equivalent conditions for an invariant submanifold of a generalized Sasakian-space-forms to be totally geodesic.

Key concepts: Submanifold, Totally geodesic, Invariant (physics), Space form, Pure mathematics, Mathematics, Geodesic, Mathematical analysis

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