SOME CLASSES OF INVARIANT SUBMANIFOLDS OF \((LCS)_n\)-MANIFOLDS
Keywords:
\((LCS)_n\)-manifold, invariant submanifold, pseudo parallel submanifold, Ricci generalized pseudo parallel submanifold, η-parallel submanifold, totally geodesicAbstract
The object of the present paper is to study the pseudoparallel, Ricci generalized pseudoparallel and η-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 η-parallel in an invariant submanifold of a (LCS)n-manifold. Finally an example of invariant submanifold of (LCS)5-manifold is constructed.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2018 S. K. Hui, Vishnu Narayan Mishra, T. Pal, Vandana
This work is licensed under a Creative Commons Attribution 4.0 International License.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)
