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The Pogorelov-Klingenberg theorem for manifolds homeomorphic to \(\mathbb R^n\)

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Publication:1259295
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DOI10.1007/BF00967208zbMath0411.53031OpenAlexW2060314977MaRDI QIDQ1259295

Vladimir Sharafutdinov

Publication date: 1978

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00967208


zbMATH Keywords

geodesicpinching conditionPogorelov-Klingenberg theoremtopological \(n\)-plane


Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)


Related Items (5)

Maximal first Betti number rigidity for open manifolds of nonnegative Ricci curvature ⋮ A panoramic glimpse of manifolds with sectional curvature bounded from below ⋮ A quadrangle comparison theorem and its application to soul theory for Alexandrov spaces ⋮ Rigidity in non-negative curvature1 ⋮ Nilpotency, almost nonnegative curvature, and the gradient flow on Alexandrov spaces



Cites Work

  • Contributions to riemannian geometry in the large
  • On the structure of complete manifolds of nonnegative curvature
  • Convex Analysis


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