Zobrazeno 1 - 10
of 63
pro vyhledávání: '"Kollross, Andreas"'
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 inhomogeneous isoparametric foliations of the 31-sphere under
Externí odkaz:
http://arxiv.org/abs/2409.06032
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 the orbits of polar actions are lifts of polar actions on the cor
Externí odkaz:
http://arxiv.org/abs/2402.08585
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 paper [arXiv:2112.00513] by the same authors.
Comment: Added Lemma
Comment: Added Lemma
Externí odkaz:
http://arxiv.org/abs/2310.12307
We classify maximal totally geodesic submanifolds in exceptional symmetric spaces up to isometry. Moreover, we introduce an invariant for certain totally geodesic embeddings of semisimple symmetric spaces, which we call the Dynkin index. We prove a r
Externí odkaz:
http://arxiv.org/abs/2202.10775
Publikováno v:
Advances In Mathematics 441 (2024)
We study isometric actions of compact Lie groups on complete orientable positively curved $n$-manifolds whose orbit spaces have non-empty boundary in the sense of Alexandrov geometry. In particular, we classify quotients of the unit sphere by actions
Externí odkaz:
http://arxiv.org/abs/2112.00513
Publikováno v:
In Advances in Mathematics April 2024 441
Autor:
Kollross, Andreas
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 study polar actions on Damek-Ricci spaces. We prove criteria for isome
Externí odkaz:
http://arxiv.org/abs/2008.02606
Autor:
Amann, Manuel, Kollross, Andreas
Compact symmetric spaces are probably one of the most prominent class of formal spaces, i.e. of spaces where the rational homotopy type is a formal consequence of the rational cohomology algebra. As a generalisation, it is even known that their isotr
Externí odkaz:
http://arxiv.org/abs/2002.07645
Publikováno v:
In Advances in Mathematics 1 April 2023 418
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 the third named author. Without assuming compactness, we give a classifi
Externí odkaz:
http://arxiv.org/abs/1805.03619