[图书][B] Submanifolds and holonomy

J Berndt, S Console, CE Olmos - 2016 - books.google.com
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 …

Polar actions on symmetric spaces

A Kollross - Journal of Differential Geometry, 2007 - projecteuclid.org
We study isometric Lie group actions on symmetric spaces admitting a section, ie, a
submanifold that meets all orbits orthogonally at every intersection point. We classify such …

Some remarks on polar actions

C Gorodski, A Kollross - Annals of Global Analysis and Geometry, 2016 - Springer
Some remarks on polar actions | SpringerLink Skip to main content Advertisement SpringerLink
Log in Menu Find a journal Publish with us Search Cart 1.Home 2.Annals of Global Analysis …

[HTML][HTML] Polar actions with a fixed point

JC Díaz-Ramos, A Kollross - Differential Geometry and its Applications, 2011 - Elsevier
We prove a criterion for an isometric action of a Lie group on a Riemannian manifold to be
polar. From this criterion, it follows that an action with a fixed point is polar if and only if the …

Low cohomogeneity and polar actions on exceptional compact Lie groups

A Kollross - Transformation Groups, 2009 - Springer
We study isometric Lie group actions on the compact exceptional groups E 6, E 7, E 8, F 4
and G 2 endowed with a bi-invariant metric. We classify polar actions on these groups, in …

[PDF][PDF] On homogeneous composed Clifford foliations

C Gorodski, M Radeschi - arXiv preprint arXiv:1503.09058, 2015 - arxiv.org
arXiv:1503.09058v1 [math.DG] 31 Mar 2015 Page 1 arXiv:1503.09058v1 [math.DG] 31 Mar
2015 ON HOMOGENEOUS COMPOSED CLIFFORD FOLIATIONS CLAUDIO GORODSKI …

The equivariant LS-category of polar actions

S Hurder, D Töben - Topology and its Applications, 2009 - Elsevier
We will provide a lower bound for arbitrary proper actions in terms of the stratification by orbit
types, and an upper bound for proper polar actions in terms of the equivariant LS-category of …

Codimension two polar homogeneous foliations on symmetric spaces of noncompact type

JC Díaz-Ramos, JM Lorenzo-Naveiro - arXiv preprint arXiv:2302.08339, 2023 - arxiv.org
arXiv:2302.08339v1 [math.DG] 16 Feb 2023 Page 1 arXiv:2302.08339v1 [math.DG] 16 Feb 2023
CODIMENSION TWO POLAR HOMOGENEOUS FOLIATIONS ON SYMMETRIC SPACES OF …

Coisotropic actions on compact homogeneous Kähler manifolds

F Podestà, G Thorbergsson - Mathematische Zeitschrift, 2003 - Springer
Mathematische Zeitschrift Page 1 DOI: 10.1007/s00209-002-0458-y Math. Z. 243, 471–490 (2003)
Mathematische Zeitschrift Coisotropic actions on compact homogeneous Kähler manifolds …

Polar actions on Damek-Ricci spaces

A Kollross - Differential Geometry and its Applications, 2021 - Elsevier
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 …