- Hacettepe Journal of Mathematics and Statistics
- Vol: 50 Issue: 6
- On generalized weakly symmetric $\alpha$-cosymplectic manifolds
On generalized weakly symmetric $\alpha$-cosymplectic manifolds
Authors : Selahattin Beyendi, Mustafa Yildirim
Pages : 1745-1755
Doi:10.15672/hujms.678660
View : 13 | Download : 11
Publication Date : 2021-12-14
Article Type : Research
Abstract :This study is concerned with some results on generalized weakly symmetric and generalized weakly Ricci-symmetric $\alpha$-cosymplectic manifolds. We prove the necessary and sufficient conditions for an $\alpha$-cosymplectic manifold to be generalized weakly symmetric and generalized weakly Ricci-symmetric. On the basis of these results, we give one proper example of generalized weakly symmetric $\alpha$-cosymplectic manifolds.Keywords : Weakly symmetric manifold, weakly Ricci-symmetric manifold, generalized weakly symmetric manifold, generalized weakly Ricci-symmetric manifold, $alpha$-cosymplectic manifold