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- Title
Generalized Weakly Symmetric Sasakian Manifolds.
- Authors
Pirhadi, V.; Ramandi, G. Fasihi; Azami, S.
- Abstract
In this parer, we give a necessary condition for Sasakian manifolds to be generalized weakly symmetric. We prove the odddimensional spheres are the only generalized weakly symmetric Sasakian manifolds. Then, we show that generalized weakly Ricci-symmetric Sasakian manifolds are Einstein. Thereafter, we define the sense of weakly parallel Riemannian submanifolds and show that every weakly parallel invariant submanifold of a Sasakian manifold is totally geodesic. Finally, we provide some examples which verify our main results.
- Subjects
SASAKIAN manifolds; EINSTEIN, Albert, 1879-1955; EINSTEIN manifolds; SUBMANIFOLDS; GEODESICS
- Publication
Journal of Mathematical Extension, 2023, Vol 17, Issue 10, p1
- ISSN
1735-8299
- Publication type
Article
- DOI
10.30495/JME.2023.2546