A Remark on the Reduction of Cauchy–Riemann Manifolds

✍ Scribed by Frank Loose

• Publisher: John Wiley and Sons
• Year: 2000
• Tongue: English
• Weight: 186 KB
• Volume: 214
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/1522-2616(200006)214:1<39::aid-mana39>3.0.co;2-9

✦ Synopsis

The concept of a moment map for an action of a real Lie group by CR -diffeomorphisms on a CR -manifold M of hypersurface type is introduced. It gives rise to a natural reduction procedure in the sense that we construct a CR -structure on an associated orbit manifold M 0 for the case that the group acts freely and properly on M .