A geometric proof of the Berger holonomy theorem
C Olmos - Annals of mathematics, 2005 - JSTOR
A Geometric Proof of the Berger Holonomy Theorem Page 1 Annals of Mathematics, 161 (2005),
579-588 A geometric proof of the Berger Holonomy Theorem By CARLOS OLMOS* Dedicated …
579-588 A geometric proof of the Berger Holonomy Theorem By CARLOS OLMOS* Dedicated …
On orbit spaces of representations of compact Lie groups
C Gorodski, A Lytchak - Journal für die reine und angewandte …, 2014 - degruyter.com
We investigate orthogonal representations of compact Lie groups from the point of view of
their quotient spaces, considered as metric spaces. We study metric spaces which are …
their quotient spaces, considered as metric spaces. We study metric spaces which are …
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 …
Log in Menu Find a journal Publish with us Search Cart 1.Home 2.Annals of Global Analysis …
On smoothness of isometries between orbit spaces
M Alexandrino, A Lytchak - arXiv preprint arXiv:1107.2563, 2011 - arxiv.org
arXiv:1107.2563v1 [math.DG] 13 Jul 2011 Page 1 arXiv:1107.2563v1 [math.DG] 13 Jul 2011
ON SMOOTHNESS OF ISOMETRIES BETWEEN ORBIT SPACES MARCOS ALEXANDRINO …
ON SMOOTHNESS OF ISOMETRIES BETWEEN ORBIT SPACES MARCOS ALEXANDRINO …
Representations whose minimal reduction has a toric identity component
C Gorodski, A Lytchak - Proceedings of the American Mathematical Society, 2015 - ams.org
We classify irreducible representations of connected compact Lie groups whose orbit space
is isometric to the orbit space of a representation of a finite extension of a (positive …
is isometric to the orbit space of a representation of a finite extension of a (positive …
Taut submanifolds and foliations
S Wiesendorf - Journal of Differential Geometry, 2014 - projecteuclid.org
We give an equivalent description of taut submanifolds of complete Riemannian manifolds
as exactly those submanifolds whose normal exponential map has the property that every …
as exactly those submanifolds whose normal exponential map has the property that every …
Core reduction for singular Riemannian foliations and applications to positive curvature
D Corro, A Moreno - Annals of Global Analysis and Geometry, 2022 - Springer
We expand upon the notion of a pre-section for a singular Riemannian foliation (M, F), ie a
proper submanifold N⊂ M retaining all the transverse geometry of the foliation. This …
proper submanifold N⊂ M retaining all the transverse geometry of the foliation. This …
Reduction principles for proper actions
L Biliotti - arXiv preprint arXiv:2212.06715, 2022 - arxiv.org
Let $ G $ be a Lie group acting properly on a smooth manifold $ M $. If $ M/G $ is connected,
then we exhibit some simple and basic constructions for proper actions. In particular, we …
then we exhibit some simple and basic constructions for proper actions. In particular, we …
Polar actions on compact Euclidean hypersurfaces
I Moutinho, R Tojeiro - Annals of Global Analysis and Geometry, 2008 - Springer
Given an isometric immersion f: M^ n → R^ n+ 1 of a compact Riemannian manifold of
dimension n≥ 3 into Euclidean space of dimension n+ 1, we prove that the identity …
dimension n≥ 3 into Euclidean space of dimension n+ 1, we prove that the identity …