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

Document Type : Original Article


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


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.


Main Subjects