On generalized weakly symmetric $\alpha$-cosymplectic manifolds

Year 2021, Volume: 50 Issue: 6, 1745 - 1755, 14.12.2021

Selahattin Beyendi , Mustafa Yıldırım

https://doi.org/10.15672/hujms.678660

Cited By: 3

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

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