Magata, Frederick: Reductions, resolutions and the copolarity of isometric group actions. 2008
Inhalt
- Introduction
- Chapter 1. Fat Sections, Fat Weyl Groups and the Copolarity of Isometric Actions
- Chapter 2. Structure Theory of Fat Sections and Reductions
- 2.1. Properties of Reductions
- 2.2. Copolarity and Reductions of the Slice Representation
- 2.3. Stability of Copolarity under Reductions
- 2.4. A Remark on Variational Completeness and Co-Completeness
- 2.5. Decomposition of Killing Fields and Adapted Metrics
- 2.6. A Generalization of Weyl's Integration Formula
- 2.7. On a Generalization of Chevalley's Restriction Theorem
- Chapter 3. Global Resolutions of Isometric Actions with Respect to Fat Sections
- Chapter 4. Copolarity of Singular Riemannian Foliations
- Chapter 5. Copolarity of Actions induced by Polar Actions on Symmetric Spaces
- Chapter 6. An Infinite Dimensional Isometric Action
- Chapter 7. Direct Sums of the Standard Representations n,n,n
- Appendix
- Bibliography