Hard and soft packing radius theorems

DOI10.2307/2118635zbMath0846.53042OpenAlexW2055934139MaRDI QIDQ1902561

Karsten Grove, Frederick H. jun. Wilhelm

Publication date: 22 September 1996

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2118635

zbMATH Keywords

Alexandrov spacepacking radiussphere theorem

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)

Related Items (20)

Topological regularity of spaces with an upper curvature bound ⋮ The soul conjecture in Alexandrov geometry in dimension 4 ⋮ Noncritical maps on geodesically complete spaces with curvature bounded above ⋮ On the filling radius of positively curved Alexandrov spaces ⋮ A rigidity theorem in Alexandrov spaces with lower curvature bound ⋮ A panoramic glimpse of manifolds with sectional curvature bounded from below ⋮ Crosscap stability ⋮ Generalized packing radius theorems of Alexandrov spaces with curvature ≥ 1 ⋮ A rigidity phenomenon on Riemannian manifolds with reverse volume pinching ⋮ Diffeomorphism stability and codimension three ⋮ A differentiable sphere theorem on manifolds with reverse volume pinching ⋮ On the spread of positively curved Alexandrov spaces ⋮ Cohomogeneity one Alexandrov spaces ⋮ New Extremal Problems for the Riemannian Recognition Program via Alexandrov Geometry ⋮ The mapping properties of filling radius and packing radius and their applications ⋮ Orientation and symmetries of Alexandrov spaces with applications in positive curvature ⋮ Convergence of isometries, with semicontinuity of symmetry of Alexandrov spaces ⋮ Covering radii and paving diameters of Alexandrov spaces ⋮ A rigidity phenomenon on Riemannian manifolds with reverse excess pinching ⋮ A radius sphere theorem

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