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Pseudoparallel invariant submanifolds of $(LCS)_n$-manifolds

MEHMET ATCEKEN|UMIT YILDIRIM|Suleyman Dirik
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2020.06|한국수학논문집 (Korean Journal of Mathematics)|제28권 제2호|pp. 275-284

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참고문헌

키워드

$(LCS)_n$-ManifoldPseudoparallel submanifold
주제분류수학

초록

The aim of this paper is to study the invariant submanifolds of $(LCS)_n$-manifolds. We study pseudo parallel, generalized Ricci-pseudo parallel and 2-pseudo parallel invariant submanifolds of a $(LCS)_n$-manifold and get the necessary and sufficient conditions for an invariant submanifold to be totally geodesic and give some new results contribute to differential geometry.

Abstract

The aim of this paper is to study the invariant submanifolds of $(LCS)_n$-manifolds. We study pseudo parallel, generalized Ricci-pseudo parallel and 2-pseudo parallel invariant submanifolds of a $(LCS)_n$-manifold and get the necessary and sufficient conditions for an invariant submanifold to be totally geodesic and give some new results contribute to differential geometry.

참고문헌 (18)

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