On a Classification of Almost $\alpha $-Cosymplectic Manifolds

Document Type: Original Article

Author

Faculty of Engineering and Natural Sciences, Department of Mathematics, Bursa Technical University, Bursa, Turkey.

Abstract

The object of the present paper is to study almost $\alpha $-cosymplectic manifolds. We consider projectively flat, conformally flat, and concircularly flat almost $\alpha $-cosymplectic manifolds (with the $\eta $-parallel tensor field $\phi h$) and get some new properties. We conclude the paper by giving an example of $\alpha $-Kenmotsu manifold, which verifies our results.

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