Some remarks on polar actions

Abstract

We classify infinitesimally polar actions on compact Riemannian symmetric spaces of rank one. We also prove that every polar action on one of those spaces has the same orbits as an asystatic action.

13 pages

References in corpus (5)

• Well-posedness of non-autonomous linear evolution equations in uniformly convex spaces
• Some remarks on polar actions
• Duality of symmetric spaces and polar actions
• Optimal Learning Rates for Localized SVMs
• Well-posedness of non-autonomous linear evolution equations for generators whose commutators are scalar

Cited by in corpus (5)

• Some remarks on polar actions
• Polar actions on Damek-Ricci spaces
• On exceptional compact homogeneous geometries of type C3
• Actions on positively curved manifolds and boundary in the orbit space
• On two non-building but simply connected compact Tits geometries of type C3