On the Pseudo - Projective Tensor of Nearly Cosymplectic Manifold

Abstract

The authors focused on the geometry of the pseudo projectively tensor of nearly cosymplectic manifold. In particular, it has established that the scalar curvature tensor of the aforementioned manifold is constant. Moreover, under the flatness property, the necessary condition for the nearly cosymplectic manifold to be an Einstein space, has been determined.

Key words and phrases. Nearly cosymplectic manifold, pseudo - projective tensor, Einstein space.

2000 Mathematics Subject Classification. 53C55; 53B35