Affine functions on \(CAT (\kappa )\)-spaces

DOI10.1007/s00209-006-0020-4zbMath1197.53044arXivmath/0410421OpenAlexW1984768144MaRDI QIDQ970196

Viktor Schroeder, Alexander Lytchak

Publication date: 10 May 2010

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0410421

zbMATH Keywords

Hilbert spacemetric spacegeodesicaffine functions

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Direct methods ((G)-spaces of Busemann, etc.) (53C70)

Related Items

Topological regularity of spaces with an upper curvature bound, Affine maps between CAT(0) spaces, Schauder fixed point theorem in spaces with global nonpositive curvature, On the structure of RCD spaces with upper curvature bounds, Affine functions on Alexandrov spaces, At infinity of finite-dimensional CAT\((0)\) spaces, Some regularity of submetries, An indiscrete Bieberbach theorem: from amenable \(\mathrm{CAT}(0)\) groups to Tits buildings, A note on subsets of positive reach, On the local structure and the homology of CAT(κ) spaces and euclidean buildings, Geodesically complete spaces with an upper curvature bound, Fan's inequality in geodesic spaces, Weakly noncollapsed RCD spaces with upper curvature bounds, Geometric density for invariant random subgroups of groups acting on CAT(0) spaces., Spaces with many affine functions

Cites Work

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• A cone splitting theorem for Alexandrov spaces
• Amenable isometry groups of Hadamard spaces
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• Non standard metric products
• Affine functions on Alexandrov surfaces