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On generalized weakly symmetric $\alpha$-cosymplectic manifolds

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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.
Title: On generalized weakly symmetric $\alpha$-cosymplectic manifolds
Description:
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.

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