Reduction for locally conformal symplectic manifolds

Authors
Haller, S Rybicki, T
Citation
S. Haller et T. Rybicki, Reduction for locally conformal symplectic manifolds, J GEOM PHYS, 37(3), 2001, pp. 262-271
Citations number
9
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF GEOMETRY AND PHYSICS
ISSN journal
03930440 → ACNP
Volume
37
Issue
3
Year of publication
2001
Pages
262 - 271
Database
ISI
SICI code
0393-0440(200102)37:3<262:RFLCSM>2.0.ZU;2-6
Abstract
It is shown how one can do symplectic reduction for locally conformal sympl ectic manifolds, especially with an action of a Lie group. This generalizes well-known procedures for symplectic manifolds to the slightly larger clas s of locally conformal symplectic manifolds. The whole setting is very conf ormally invariant. (C) 2001 Elsevier Science B.V. All rights reserved.