On the filling radius of positively curved manifolds

DOI10.1007/BF01231906zbMath0729.53044OpenAlexW2075461041MaRDI QIDQ806073

Frederick H. jun. Wilhelm

Publication date: 1992

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143982

zbMATH Keywords

spreadBonnet's theoremdifferentiable diameter sphere conjectureGromov- Hausdorff convergenceGromov's filling radiusTopogonov's maximal diameter theorem

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 (5)

Curvature, triameter, and beyond ⋮ The rational filling radius of complex projective space ⋮ Diffeomorphism stability and codimension three ⋮ On the spread of positively curved Alexandrov spaces ⋮ The mapping properties of filling radius and packing radius and their applications

Cites Work

• The filling radius of two-point homogeneous spaces
• Manifolds near the boundary of existence
• Filling Riemannian manifolds
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Collapsing and pinching under a lower curvature bound
• Integrals of subharmonic functions on manifolds of nonnegative curvature
• \(C^\infty\) convex functions and manifolds of positive curvature
• A new version of differentiable sphere theorem
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