Pseudoparallel Invariant Submanifolds of a Para-Sasakian Manifold

Abstract

In this paper, invariant submanifolds of a para-Sasakian manifold have been studied. Some special submanifolds such as pseudoparallel, 2-pseudoparallel, Ricci generalized pseudoparallel, and 2-Ricci generalized pseudoparallel submanifolds of a para-Sasakian manifold have been considered. The necessary and sufficient conditions for an invariant submanifold to be totally geodesic under some conditions have been given.

Keywords

• Para-Sasakian manifold
• pseudoparallel
• Ricci-generalized pseudoparallel and 2-pseudoparallel submanifolds

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