Almost \(\alpha\)-cosymplectic pseudo metric manifolds (Q2666135)

Summary: 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 \(h\), \(\varphi h\), 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.