The tangent cone of an Aleksandrov space of curvature \(\leq K\)

DOI10.1007/BF02567983zbMath0822.53043MaRDI QIDQ1345751

Igor G. Nikolaev

Publication date: 5 October 1995

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156043

zbMATH Keywords

tangent conebounded curvatureAleksandrov space

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Direct methods ((G)-spaces of Busemann, etc.) (53C70) Synthetic differential geometry (51K10)

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Cites Work

• Spaces with bounded curvature and distance geometry
• Space of directions at a point in a space of curvature not greater than k
• Equilibrium maps between metric spaces
• Harmonic maps into singular spaces and \(p\)-adic superrigidity for lattices in groups of rank one
• Pathologies in Alexandrov spaces with curvature bounded above
• Sobolev spaces and harmonic maps for metric space targets
• Inextensible mappings in a space of curvature no greater than K
• Generalized Riemannian spaces
• A.D. Alexandrov spaces with curvature bounded below