Slices for lifted tangent and cotangent actions

2005/09/02 by Johannes Huebschmann, Huebschmann, Johannes
Engineering · Mathematics · #53D20 70H33 #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Differential Geometry (math.DG) #FOS: Mathematics #Mathematics and Applications #Symplectic Geometry (math.SG) #math.DG #math.SG #msc:53D20 #msc:70H33

paper · pdf · doi:10.48550/arxiv.math/0509046

AMSTeX 2.1, 17 pages

arxiv created 2005/09/02 · openalex publication_date 2005/09/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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