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SOME CLASSES OF INVARIANT SUBMANIFOLDS OF (LCS)(n)-MANIFOLDS
Date Issued
2018
Author(s)
Hui, SK
Mishra, VN
Pal, T
Vandana
Abstract
The object of the present paper is to study the pseudoparallel, Ricci generalized pseudoparallel and eta-parallel invariant submanifolds of (LCS)(n)-manifolds and we obtained some equivalent conditions of invariant submanifolds of (LCS)(n)-manifolds under which the submanifolds are totally geodesic. Among others we found the necessary and sufficient condition of the second fundamental form to be eta-parallel in an invariant submanifold of a (LCS)(n)-manifold. Finally an example of invariant submanifold of (LCS)(5)-manifold is constructed.