Reductions, Resolutions and the Copolarity of Isometric Group Actions

2009/08/03 by Frederick Magata, Magata, Frederick · 1 citation
Mathematics · #53C20 #57S25 #Advanced Algebra and Geometry #Advanced Operator Algebra Research #Differential Geometry (math.DG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.DG #msc:53C20 #msc:57S25

paper · pdf · doi:10.48550/arxiv.0908.0183

29 pages, based on the authors docotral thesis

arxiv created 2009/08/03 · openalex publication_date 2009/08/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present some results on reductions and the copolarity of isometric group actions, which we obtained in our thesis. We also describe a resolution construction for isometric actions with respect to a reduction and give examples.

Citations

• Curvature explosion in quotients and applications
• A general Weyl-type Integration Formula for Isometric Group Actions

Cited by

• On smoothness of isometries between orbit spaces

Related

• Copolarity of isometric actions
• Isometric Actions are Quasidiagonal
• First cohomology, rigidity and deformations of isometric group actions
• Reduction principles for proper actions
• A note on properly discontinuous actions