On the filling radius of positively curved Alexandrov spaces

DOI10.1007/s00209-012-0999-7zbMath1266.53045OpenAlexW2035666606MaRDI QIDQ1936618

Takumi Yokota

Publication date: 6 February 2013

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-012-0999-7

zbMATH Keywords

filling radiusAlexandrov spacepositively curvedpacking radius

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items (1)

On the spread of positively curved Alexandrov spaces

Cites Work

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• A rigidity theorem in Alexandrov spaces with lower curvature bound
• The filling radius of two-point homogeneous spaces
• A splitting theorem for infinite dimensional Alexandrov spaces with nonnegative curvature and its applications
• Filling Riemannian manifolds
• Metric spaces of lower bounded curvature
• A radius sphere theorem
• Kirszbraun's theorem and metric spaces of bounded curvature
• Covering radii and paving diameters of Alexandrov spaces
• Homogeneous spaces of curvature bounded below
• Hard and soft packing radius theorems
• Spaces on and beyond the boundary of existence
• Quasilinearization and curvature of Aleksandrov spaces
• Semiconcave functions in Alexandrov's geometry
• SIMPLICIAL VOLUMES OF ALEXANDROV SPACES

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