Curvature, triameter, and beyond
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Publication:4020144
DOI10.1090/S0273-0979-1992-00308-7zbMath0753.53025arXivmath/9210216WikidataQ61978226 ScholiaQ61978226MaRDI QIDQ4020144
Karsten Grove, Steen Markvorsen
Publication date: 16 January 1993
Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9210216
Global Riemannian geometry, including pinching (53C20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Synthetic differential geometry (51K10)
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Metric Curvatures Revisited: A Brief Overview ⋮ Scalar curvature via local extent ⋮ Some properties of Gromov-Hausdorff distances ⋮ \(U\)-max-statistics ⋮ New Extremal Problems for the Riemannian Recognition Program via Alexandrov Geometry
Cites Work
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- The filling radius of two-point homogeneous spaces
- On the filling radius of positively curved manifolds
- Manifolds near the boundary of existence
- Sur une question d'Erdős et Schinzel. II. (On a question of Erdős and Schinzel. II)
- Filling Riemannian manifolds
- Collapsing and pinching under a lower curvature bound
- A generalized sphere theorem
- A new version of differentiable sphere theorem
- A note on transfinite diameters
- A generalization of Berger's rigidity theorem for positively curved manifolds
- On the sum of distances determined by a pointset
- The First Diameter of 3-Manifolds of Positive Scalar Curvature
- Homotopy Types of Positively Curved Manifolds with Large Volume
- On Manifolds of Small Excess
- New Extremal Problems for the Riemannian Recognition Program via Alexandrov Geometry
- An excess sphere theorem
- A Pinching Theorem for Homotopy Spheres