Collapsing three-dimensional closed Alexandrov spaces with a lower curvature bound

DOI10.1090/S0002-9947-2014-06091-1zbMath1320.53039arXiv1212.2302MaRDI QIDQ5496664

Ayato Mitsuishi, Takao Yamaguchi

Publication date: 2 February 2015

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.2302

zbMATH Keywords

Riemannian manifoldGromov-Hausdorff limitAlexandrov spacefiber spacecollapsing spaces

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items (11)

Application of good coverings to collapsing Alexandrov spaces ⋮ A glance at three-dimensional Alexandrov spaces ⋮ Closed three-dimensional Alexandrov spaces with isometric circle actions ⋮ Sufficiently collapsed irreducible Alexandrov 3-spaces are geometric ⋮ Three-Dimensional Alexandrov Spaces: A Survey ⋮ Topological and Geometric Rigidity for Spaces with Curvature Bounded Below ⋮ The behavior of harmonic functions at singular points of \(\mathsf{RCD}\) spaces ⋮ Three-dimensional Alexandrov spaces with local isometric circle actions ⋮ Inradius collapsed manifolds ⋮ On topological rigidity of Alexandrov 3-spaces ⋮ Lipschitz homotopy convergence of Alexandrov spaces

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