Locally conformally symplectic reduction
Differential Geometry
2018-10-08 v2 Symplectic Geometry
Abstract
We present a reduction procedure for locally conformally symplectic (LCS) manifolds with an action of a Lie group preserving the conformal structure, with respect to any regular value of the momentum mapping. Under certain conditions, this reduction is compatible with the existence of a locally conformally K\"ahler structure. As a special consequence, we obtain a compatible contact reduction with respect to any regular value of the contact momentum mapping.
Keywords
Cite
@article{arxiv.1809.00034,
title = {Locally conformally symplectic reduction},
author = {Miron Stanciu},
journal= {arXiv preprint arXiv:1809.00034},
year = {2018}
}
Comments
35 pages; v2: Added an additional description of the reduced space as a quotient of a group action; Expanded the example section; Fixed a few typos