On Three-Dimensional Alexandrov Spaces

DOI10.1093/imrn/rnu101zbMath1350.53089arXiv1307.3929OpenAlexW2962813570MaRDI QIDQ3454232

Luis Guijarro, Fernando Galaz-García

Publication date: 24 November 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.3929

zbMATH Keywords

Alexandrov spacehomotopy spheregeometrizationThurston geometryAlexandrov curvature bounded below

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45) Synthetic differential geometry (51K10)

Related Items (16)

A glance at three-dimensional Alexandrov spaces ⋮ Teichmüller theory and collapse of flat manifolds ⋮ Closed three-dimensional Alexandrov spaces with isometric circle actions ⋮ Torus actions on Alexandrov 4-spaces ⋮ Finiteness and realization theorems for Alexandrov spaces with bounded curvature ⋮ Sufficiently collapsed irreducible Alexandrov 3-spaces are geometric ⋮ Cohomogeneity one Alexandrov spaces in low dimensions ⋮ Rigidity of Alexandrov Spaces ⋮ Three-Dimensional Alexandrov Spaces: A Survey ⋮ Topological and Geometric Rigidity for Spaces with Curvature Bounded Below ⋮ Three-dimensional Alexandrov spaces with local isometric circle actions ⋮ Three-dimensional Alexandrov spaces with positive or nonnegative Ricci curvature ⋮ Orientation and symmetries of Alexandrov spaces with applications in positive curvature ⋮ On topological rigidity of Alexandrov 3-spaces ⋮ Positively curved Riemannian orbifolds and Alexandrov spaces with circle symmetry in dimension 4 ⋮ Alexandrov spaces with maximal radius

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