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- Title
ON AN INVARIANT SUBMANIFOLD OF HYPERBOLIC SASAKIAN MANIFOLDS.
- Authors
Pandey, Shravan Kumar; Singh, Ram Nawal
- Abstract
The objective of the present paper is to study an invariant submanifold of hyperbolic Sasakian manifolds. In this paper, we consider semiparallel and 2-semiparallel invariant submanifolds of hyperbolic Sasakian manifolds and shown that these submanifolds are totally geodesic. It is also proved that on an invariant submanifold of hyperbolic Sasakian manifolds the condition I(X, Y).α = 0, I(X, Y).∇ α = 0, C(X, Y).α = 0 and C(X, Y).∇ α = 0 holds if and only if it is totally geodesic.
- Subjects
INVARIANT manifolds; SASAKIAN manifolds; GEODESICS
- Publication
Facta Universitatis, Series: Mathematics & Informatics, 2017, Vol 32, Issue 3, p353
- ISSN
0352-9665
- Publication type
Article
- DOI
10.22190/FUMI1703353P