A splitting theorem for infinite dimensional Alexandrov spaces with nonnegative curvature and its applications

DOI10.1007/s10711-009-9390-1zbMath1191.53051OpenAlexW1996028370MaRDI QIDQ849374

Ayato Mitsuishi

Publication date: 25 February 2010

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-009-9390-1

zbMATH Keywords

curvatureAlexandrov spacesplitting theoremmaximal radius sphere theorem

Mathematics Subject Classification ID

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

Related Items (8)

CONE STRUCTURE OF L²-WASSERSTEIN SPACES ⋮ Eigenvalue estimates and differential form Laplacians on Alexandrov spaces ⋮ Ricci curvature and orientability ⋮ On the filling radius of positively curved Alexandrov spaces ⋮ A splitting theorem for nonnegatively curved Alexandrov spaces ⋮ A rigidity theorem in Alexandrov spaces with lower curvature bound ⋮ On the spread of positively curved Alexandrov spaces ⋮ Collapsing three-dimensional closed Alexandrov spaces with a lower curvature bound

Cites Work

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• Convex analysis and measurable multifunctions
• On tangent cones of Alexandrov spaces with curvature bounded below
• Nonlinear Markov operators, discrete heat flow, and harmonic maps between singular spaces
• Spaces of Wald curvature bounded below

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