This second edition explores recent progress in the submanifold geometry of space forms,
including new methods based on the holonomy of the normal connection. It contains five …

These are the notes for a series of lectures at the Institute of Geometry and Topology of the
University of Stuttgart, Germany, in July 13-15, 2022. We assume basic knowledge of …

There is a well-known link between (maximal) polar representations and isotropy
representations of symmetric spaces provided by Dadok. Moreover, the theory by Tits and …

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 that …

We will show how isoparametric submanifolds and polar actions on round spheres lead to
polar foliations and polar actions on compact symmetric spaces and compact Riemannian …

We conclude the classification of isoparametric (or equivalently, polar) foliations of complex
and quaternionic projective spaces. This is done by investigating the projections of certain …

HOMOGENEOUS COMPACT GEOMETRIES Page 1 Transformation Groups c Springer
Science+Business Media New York (2014) HOMOGENEOUS COMPACT GEOMETRIES L …

In this survey article we provide an introduction to submanifold geometry in symmetric
spaces of noncompact type. We focus on the construction of examples and the classification …

These are the notes for a series of lectures in the 7th School and Workshop on Lie Theory, at
Universidade Federal de Juiz de Fora, Minas Gerais, Brazil (online event), in September 8 …

There is a well known link between (maximal) polar representations and isotropy
representations of symmetric spaces provided by Dadok. Moreover, the theory by Tits and …