Pseudoparallel Invariant Submanifolds of a Para-Sasakian Manifold

Year 2023, Volume: 15 Issue: 2, 382 - 390, 31.12.2023

Tuğba Mert , Mehmet Atçeken

https://doi.org/10.47000/tjmcs.1124668

Cited By: 1

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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