The mapping properties of filling radius and packing radius and their applications

DOI10.1016/j.difgeo.2004.07.006zbMath1073.53056OpenAlexW2028025637WikidataQ115358002 ScholiaQ115358002MaRDI QIDQ1765692

Luofei Liu

Publication date: 23 February 2005

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2004.07.006

zbMATH Keywords

dilatationfilling radiusinjectivity radiuspacking radius

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)

Cites Work

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• The filling radius of two-point homogeneous spaces
• On the filling radius of positively curved manifolds
• Filling Riemannian manifolds
• The rational filling radius of complex projective space
• The second twisted Betti number and the convergence of collapsing Riemannian manifolds
• Hard and soft packing radius theorems
• New Extremal Problems for the Riemannian Recognition Program via Alexandrov Geometry
• Stretching Phenomena in Mappings of Spheres

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