Moser stability for locally conformally symplectic structures

TL;DR

This paper extends Moser's stability theorem to locally conformally symplectic structures, providing a new understanding of their stability and recovering some known results by Banyaga.

Contribution

It formulates and proves a Moser stability theorem analogue specifically for locally conformally symplectic structures, advancing the theoretical framework.

Findings

Established a stability theorem for locally conformally symplectic structures

Recovered known results by Banyaga as special cases

Provided a foundation for further research in conformal symplectic geometry

Abstract

We formulate and prove the analogue of Moser's stability theorem for locally conformally symplectic structures. As special cases we recover some results previously proved by Banyaga.