On generalized weakly symmetric $\alpha$-cosymplectic manifolds

Authors : Selahattin BEYENDİ, Mustafa YILDIRIM

Pages : 1745-1755

Doi:10.15672/hujms.678660

View : 25 | Download : 6

Publication Date : 2021-12-14

Article Type : Research Paper

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