Topology of complete manifolds with radial curvature bounded from below
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Publication:2475587
DOI10.1007/s00039-007-0625-8zbMath1144.53050OpenAlexW2016585559MaRDI QIDQ2475587
Kei-Ichi Kondo, Shin-Ichi Ohta
Publication date: 11 March 2008
Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00039-007-0625-8
Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
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Approximations of Lipschitz maps via Ehresmann fibrations and Reeb's sphere theorem for Lipschitz functions ⋮ Sobolev and isoperimetric inequalities for submanifolds in weighted ambient spaces ⋮ Total curvatures of model surfaces control topology of complete open manifolds with radial curvature bounded below. I ⋮ The Alexandrov-Toponogov comparison theorem for radial curvature ⋮ A sphere theorem for radial curvature ⋮ Radius sphere theorems for compact manifolds with radial curvature bounded below ⋮ The cut locus of a two-sphere of revolution and Toponogov's comparison theorem ⋮ Total curvatures of model surfaces control topology of complete open manifolds with radial curvature bounded below. II ⋮ On sufficient conditions to extend Huber's finite connectivity theorem to higher dimensions ⋮ Necessary and sufficient conditions for a triangle comparison theorem ⋮ Approximations of Lipschitz maps via immersions and differentiable exotic sphere theorems
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