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Pseudoparallel invariant submanifolds of $(LCS)_n$-manifolds
MEHMET ATCEKEN,UMIT YILDIRIM,Suleyman Dirik 강원경기수학회 2020 한국수학논문집 Vol.28 No.2
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.