The convexity package for Hamiltonian actions on conformal symplectic manifolds
Symplectic Geometry
2023-11-27 v2 Differential Geometry
Abstract
Consider a Hamiltonian action of a compact connected Lie group on a conformal symplectic manifold. We prove a convexity theorem for the moment map under the assumption that the action is of Lee type, which establishes an analog of Kirwan's convexity theorem in conformal symplectic geometry.
Keywords
Cite
@article{arxiv.1905.12703,
title = {The convexity package for Hamiltonian actions on conformal symplectic manifolds},
author = {Youming Chen and Reyer Sjamaar and Xiangdong Yang},
journal= {arXiv preprint arXiv:1905.12703},
year = {2023}
}
Comments
31 pages, 1 figure. Appendix on conformal presymplectic manifolds added. Minor mistakes corrected