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math.DG2024
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…
math.DG2024
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…