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http://dx.doi.org/10.11568/kjm.2020.28.2.275

PSEUDOPARALLEL INVARIANT SUBMANIFOLDS OF (LCS)n-MANIFOLDS  

Atceken, Mehmet (Department of Mathematics University of Gaziosmanpasa)
Yildirim, Umit (Department of Mathematics University of Gaziosmanpasa)
Dirik, Suleyman (Department of Statistics University of Amasya)
Publication Information
Korean Journal of Mathematics / v.28, no.2, 2020 , pp. 275-284 More about this Journal
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.
Keywords
$(LCS)_n$-Manifold; Pseudoparallel submanifold; Generalized Ricci-pseudoparallel and 2-pseudoparallel submanifold;
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