On smoothness of isometries between orbit spaces

2011/07/13 by Marcos M. Alexandrino, Alexander Lytchak, Alexandrino, Marcos +1
Mathematics · #Advanced Algebra and Geometry #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1107.2563

openalex publication_date 2011/07/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss the connection between the smooth and metric structure on quotient spaces, prove smoothness of isometries in special cases and discuss an application to a conjecture of Molino.

Citations

• Reductions, Resolutions and the Copolarity of Isometric Group Actions

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