Sufficiently collapsed irreducible Alexandrov 3-spaces are geometric
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Publication:5109740
DOI10.1512/iumj.2020.69.7879zbMath1460.53041arXiv1709.02336OpenAlexW2751563614MaRDI QIDQ5109740
Luis Guijarro, Fernando Galaz-García, Jesús Núñez-Zimbrón
Publication date: 13 May 2020
Published in: Indiana University Mathematics Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1709.02336
Global Riemannian geometry, including pinching (53C20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)
Related Items (3)
Three-Dimensional Alexandrov Spaces: A Survey ⋮ Topological and Geometric Rigidity for Spaces with Curvature Bounded Below ⋮ On topological rigidity of Alexandrov 3-spaces
Cites Work
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- Locally Lipschitz contractibility of Alexandrov spaces and its applications
- A knot characterization and 1-connected nonnegatively curved 4-manifolds with circle symmetry
- On the involutions of closed surfaces
- Equivariant Ricci flow with surgery and applications to finite group actions on geometric 3-manifolds
- Volume and bounded cohomology
- Splitting the PL involutions of nonprime 3-manifolds
- The fundamental groups of almost nonnegatively curved manifolds
- Local \(S^1\) actions on 3-manifolds
- Lectures on analysis on metric spaces
- Collapsing three-manifolds under a lower curvature bound.
- Closed three-dimensional Alexandrov spaces with isometric circle actions
- Orientation and symmetries of Alexandrov spaces with applications in positive curvature
- Three-dimensional Alexandrov spaces with local isometric circle actions
- 3-manifolds that are covered by two open bundles
- Zur Topologie gefaserter dreidimensionaler Mannigfaltigkeiten
- Scarcity of orientation-reversing PL involutions of lens spaces
- Free involutions on non-prime 3-manifolds
- Seifert manifolds
- On Three-Dimensional Alexandrov Spaces
- The Geometries of 3-Manifolds
- Collapsing three-dimensional closed Alexandrov spaces with a lower curvature bound
- Classification of the Actions of the Circle on 3-Manifolds
- ON 3-MANIFOLDS WITH LOCAL SO(2) ACTION
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