On Cosymplectic Conformal Connections

TL;DR

This paper introduces a new type of conformal connection in cosymplectic manifolds and proves that zero curvature of this connection implies the vanishing of the Bochner curvature tensor, linking geometric structures.

Contribution

It defines a cosymplectic conformal connection and establishes a key curvature vanishing result, extending geometric understanding of cosymplectic manifolds.

Findings

Zero curvature of the cosymplectic conformal connection implies vanishing Bochner curvature tensor.

Introduces a cosymplectic analogue of conformal connection.

Links curvature properties to the geometric structure of cosymplectic manifolds.

Abstract

The aim of this paper is to introduce a cosymplectic analouge of conformal connection in a cosymplectic manifold and proved that if cosymplectic manifold M admits a cosymplectic conformal connection which is of zero curvature, then the Bochner curvature tensor of M vanishes.