Pseudoparallel Invariant Submanifolds of a Para-Sasakian Manifold

Tuğba Mert, M. Atc̣eken
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Abstract

In this paper, invariant submanifolds of a para-Sasakian manifold are studied. For a para-Sasakian manifold, pseudoparallel, 2-pseudoparallel, Ricci generalized pseudoparallel and 2-Ricci generalized pseudoparalel cases are considered and new results are obtained. The necessary and sufficient are given for an invriant submanifold to be totally geodesic under the some conditions.
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准萨萨基流形的伪平行不变子流形
本文研究了准萨萨流形的不变子流形。对于准萨萨克斯流形,考虑了伪平行、2-伪平行、利玛窦广义伪平行和 2-利玛窦广义伪平行的情况,并得到了新的结果。在某些条件下,给出了不变量子流形完全测地的必要条件和充分条件。
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