Upper and lower bounds on the filling radius

DOI10.1512/iumj.2024.73.9909MaRDI QIDQ6631918

Manuel Cuerno, Luis Guijarro

Publication date: 3 November 2024

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

zbMATH Keywords

filling radiusRiemannian submersionsreachsubmetriesKuratowski embedding

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

• On the geometry of subsets of positive reach
• The filling radius of two-point homogeneous spaces
• On the filling radius of positively curved manifolds
• Notes on Gromov's systolic estimate
• Filling Riemannian manifolds
• Sets with positive reach
• The rational filling radius of complex projective space
• Little topology, big volume
• Curvature and symmetry of Milnor spheres
• A metric characterization of Riemannian submersions
• On the filling radius of positively curved Alexandrov spaces
• Estimating the reach of a manifold via its convexity defect function
• Sweepouts of closed Riemannian manifolds
• How to conjugate C\(^1\)-close group actions
• Riemannian $L^{p}$ center of mass: Existence, uniqueness, and convexity
• Curvature Measures
• On neighborhoods of the Kuratowski imbedding beyond the first extremum of the diameter functional
• Riemannian center of mass and mollifier smoothing
• SIMPLICIAL VOLUMES OF ALEXANDROV SPACES

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