Journal Home Page

Cumulative Index

List of all Volumes

Complete Contents
of this Volume

Previous Article

Next Article

Journal of Lie Theory 11 (2001), No. 1, 009--022
Copyright Heldermann Verlag 2001

Reduction in Contact Geometry

Frank Loose
Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, 72076 Tübingen, Germany

The notion of a moment map for (exact) contact manifolds is introduced. We prove a reduction theorem analogous to the Marsden-Weinstein theorem in the (exact) symplectic case. Furthermore the existence of a local normal form for the moment map in a neighborhood of a point in the zero moment level is proved. This implies a local slice theorem for contact transformation groups.

[ Fulltext-pdf  (188  KB)]