Parallelism between locally conformal symplectic manifolds and contact manifolds

TL;DR

This paper explores the similarities between locally conformal symplectic and contact manifolds, providing a framework that unifies these geometric structures and generalizes the concept of exact contact manifolds.

Contribution

It establishes a parallelism between locally conformal symplectic and contact manifolds and introduces a generalized notion of exact contact manifolds.

Findings

Identified structural parallels between the two types of manifolds

Proposed a generalized concept extending exact contact manifolds

Provided theoretical insights into the geometric relationship

Abstract

We give the parallelism between locally conformal symplectic manifolds and contact manifolds. We also give the generalization of exact contact manifolds.