Korean J. Math. Vol. 28 No. 2 (2020) pp.275-284
DOI: https://doi.org/10.11568/kjm.2020.28.2.275

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

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Published: Jun 30, 2020
Keywords:
(LCS)n-Manifold, Pseudoparallel submanifold, Generalized Ricci-pseudoparallel and 2-pseudoparallel submanifold.
Mathematics Subject Classification:
53C15, 53C44, 53D10.

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Mehmet Atceken
Department of Mathematics University of Gaziosmanpasa, 60100, Tokat, TURKEY
Umit Yildirim
Department of Mathematics University of Gaziosmanpasa, 60100, Tokat, TURKEY
Suleyman Dirik
Department of Statistics University of Amasya, 05100, Amasya, TURKEY

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.



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