Isometric actions on spheres with an orbifold quotient

Abstract

We classify representations of compact connected Lie groups whose induced action on the unit sphere has an orbit space isometric to a Riemannian orbifold.

25 pages

References in corpus (8)

• Semiconcave functions in Alexandrov's geometry
• Geometrization of Three-Dimensional Orbifolds via Ricci Flow
• Tits Geometry and Positive Curvature
• Riemannian foliations of spheres
• Low dimensional Singular Riemannian Foliations in spheres
• The Riemannian geometry of orbit spaces. The metric, geodesics, and integrable systems
• Riemannian Manifolds with positive sectional curvature
• Reflection groups in non-negative curvature

Cited by in corpus (7)

• Some remarks on polar actions
• Clifford algebras and new singular Riemannian foliations in spheres
• Injectivity, stability, and positive definiteness of max filtering
• The curvature of orbit spaces
• Highly curved orbit spaces
• Horizontal diameter of unit spheres with polar foliations and infinitesimally polar actions
• Representations with $Sp(1{)}^k$-reductions and quaternion-Kähler symmetric spaces