On a Classification of Almost $alpha $-Cosymplectic Manifolds

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.