16 citations · 16 across the 4 of their papers we have counts for
6 papers · 1 filter
On isoparametric foliations of complex and quaternionic projective spaces
Miguel Dominguez-Vazquez, Andreas Kollross
We conclude the classification of isoparametric (or equivalently, polar) foliations of complex and quaternionic projective spaces. This is done by investigating the projections of…
Totally geodesic submanifolds and polar actions on Stiefel manifolds
Claudio Gorodski, Andreas Kollross, Alberto Rodríguez-Vázquez
We classify totally geodesic submanifolds of the real Stiefel manifolds of orthogonal two-frames. We also classify polar actions on these Stiefel manifolds, specifically, we prove…
Representations of compact simple Lie groups whose orbit space has non-empty boundary
Claudio Gorodski, Andreas Kollross, Burkhard Wilking
We provide detailed calculations for the classification of representations of compact simple Lie groups with non-empty boundary in the orbit space, first announced in a previous pa…
Polar actions on Damek-Ricci spaces
Andreas Kollross
A proper isometric Lie group action on a Riemannian manifold is called polar if there exists a closed connected submanifold which meets all orbits orthogonally. In this article we…
On homogeneous manifolds whose isotropy actions are polar
Jose Carlos Diaz-Ramos, Miguel Dominguez-Vazquez, Andreas Kollross
We show that simply connected Riemannian homogeneous spaces of compact semisimple Lie groups with polar isotropy actions are symmetric, generalizing results of Fabio Podesta and th…
Duality of symmetric spaces and polar actions
Andreas Kollross
We study isometric actions on Riemannian symmetric spaces of noncompact type which are induced by reductive algebraic subgroups of the isometry group. We show that for such an acti…