# Locally conformally symplectic reduction of the cotangent bundle

## TL;DR

This paper extends the theory of symplectic reduction to locally conformally symplectic manifolds, specifically applying it to cotangent bundles to establish an analogue of a classical symplectic result.

## Contribution

It introduces a reduction procedure for locally conformally symplectic manifolds and applies it to cotangent bundles, generalizing known symplectic reduction theorems.

## Key findings

- Established a reduction method for locally conformally symplectic manifolds.
- Proved an analogue of the cotangent bundle reduction theorem in the conformal setting.

## Abstract

In a previous article, we introduced a reduction procedure for locally conformally symplectic manifolds at any regular value of the momentum mapping. We use this construction to prove an analogue of a well-known theorem in the symplectic setting about the reduction of cotangent bundles.