Slices for lifted tangent and cotangent actions
Symplectic Geometry
2007-05-23 v1 Differential Geometry
Abstract
Given a Lie group G, a G-manifold M, and a point b of M with compact stabilizer, we construct slices for the lifted tangent and cotangent actions at a pre-image of b in terms of a slice for the G-action on M at the point b. We interpret the slice for the lifted cotangent action in terms of a symplectic slice and in terms of a Witt-Artin-decomposition.
Keywords
Cite
@article{arxiv.math/0509046,
title = {Slices for lifted tangent and cotangent actions},
author = {Johannes Huebschmann},
journal= {arXiv preprint arXiv:math/0509046},
year = {2007}
}
Comments
AMSTeX 2.1, 17 pages