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Invariant Submanifolds of (€ )-Sasakian Manifolds.
- Source :
- Annals of the University of Craiova. Mathematics & Computer Science Series; Dec2020, Vol. 47 Issue 2, p346-356, 11p
- Publication Year :
- 2020
-
Abstract
- n this paper, we consider invariant submanifolds of an (€)-Sasakian manifolds. We show that if the second fundamental form of an invariant submanifold of a (€)-Sasakian manifold is recurrent then the submanifold is totally geodesic. We also prove that, invariant submanifolds of an Einstein (€)-Sasakian manifolds satisfying the conditions C(X, Y ) · σ = 0 and C(X, Y ) · ∇σ = 0 with €r ≠ n(n − 1) are also totally geodesic. [ABSTRACT FROM AUTHOR]
- Subjects :
- SUBMANIFOLDS
EINSTEIN manifolds
GEODESICS
Subjects
Details
- Language :
- English
- ISSN :
- 12236934
- Volume :
- 47
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Annals of the University of Craiova. Mathematics & Computer Science Series
- Publication Type :
- Academic Journal
- Accession number :
- 149317878