Almost α -Cosymplectic Pseudo Metric Manifolds

Abstract

The main purpose of this paper is to study almost $\alpha$ -cosymplectic pseudo metric manifold satisfying certain $\eta$ -parallel tensor fields. We first focus on the concept of almost $\alpha$ -cosymplectic pseudo metric manifold and its curvature properties. Then, we obtain some results related to the $\eta$ -parallelity of $h$ , $\phi h$ , and $\tau$ . Moreover, the deformation of almost $\alpha$ -Kenmotsu pseudo metric structure is given. We conclude the paper with an illustrative example of almost $\alpha$ -cosymplectic pseudo metric manifold.