Isometric actions on spheres with an orbifold quotient
From MaRDI portal
Publication:303589
DOI10.1007/s00208-015-1304-yzbMath1348.53042arXiv1407.5863OpenAlexW1910982330MaRDI QIDQ303589
Alexander Lytchak, Claudio Gorodski
Publication date: 22 August 2016
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1407.5863
Global Riemannian geometry, including pinching (53C20) Reflection groups, reflection geometries (51F15) Variational aspects of group actions in infinite-dimensional spaces (58E40)
Related Items (14)
Clifford algebras and new singular Riemannian foliations in spheres ⋮ Polar foliations on quaternionic projective spaces ⋮ The curvature of orbit spaces ⋮ Highly curved orbit spaces ⋮ The G-invariant spectrum and non-orbifold singularities ⋮ Representations with \(\mathsf{Sp}(1)^k\)-reductions and quaternion-Kähler symmetric spaces ⋮ A universal gap for non-spin quantum control systems ⋮ On the horizontal diameter of the unit sphere ⋮ Unnamed Item ⋮ Leaf space isometries of singular Riemannian foliations and their spectral properties ⋮ Representations of compact Lie groups of low cohomogeneity ⋮ Odd-dimensional orbifolds with all geodesics closed are covered by manifolds ⋮ Horizontal diameter of unit spheres with polar foliations and infinitesimally polar actions ⋮ Some remarks on polar actions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Reflection groups in non-negative curvature
- Riemannian foliations of spheres
- A 7-manifold with positive curvature
- Curvature explosion in quotients and applications
- Geometric resolution of singular Riemannian foliations
- Reflection groups on Riemannian manifolds
- An exotic \({T_{1}\mathbb{S}^4}\) with positive curvature
- On integral formulas for submanifolds of spaces of constant curvature and some applications
- Isoparametric foliations and their buildings
- Geodesics on weighted projective spaces
- Taut representations of compact simple Lie groups
- A generalization of the Chevalley restriction theorem
- Lifting smooth homotopies of orbit spaces
- Critical point theory and submanifold geometry
- Adherences d'orbite et invariants
- On the invariant theory and geometry of compact linear groups of cohomogeneity \(\leq 3\)
- Parallel transportation for Alexandrov space with curvature bounded below
- Global \(G\)-manifold reductions and resolutions
- Tits geometry and positive curvature
- How tightly can you fold a sphere?
- On the classification of polar representations
- The low-dimensional metric foliations of Euclidean spheres
- Torus actions on manifolds of positive sectional curvature.
- On orbit spaces of representations of compact Lie groups
- Rigidity theorems for compact manifolds with boundary and positive Ricci curvature
- Clifford algebras and new singular Riemannian foliations in spheres
- Taut submanifolds and foliations
- Positively curved manifolds with symmetry
- Diameters of spherical Alexandrov spaces and curvature one orbifolds
- Semiconcave functions in Alexandrov's geometry
- On the geometry of cohomogeneity one manifolds with positive curvature
- Polar Coordinates Induced by Actions of Compact Lie Groups
- Compact connected Lie transformation groups on spheres with low cohomogeneity. I
- Riemannian Manifolds with Positive Sectional Curvature
- Reducible polar representations
- Index parity of closed geodesics and rigidity of Hopf fibrations
This page was built for publication: Isometric actions on spheres with an orbifold quotient
