Spaces with many affine functions

DOI10.1090/S0002-9939-07-08728-XzbMath1128.53021arXivmath/0511583MaRDI QIDQ3432789

Alexander Lytchak, Petra Hitzelberger

Publication date: 18 April 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0511583

zbMATH Keywords

normsgeodesic mappingsaffine functions

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (9)

Affine maps between CAT(0) spaces ⋮ Affine images of Riemannian manifolds ⋮ Metric Möbius geometry and a characterization of spheres ⋮ Ptolemy circles and Ptolemy segments ⋮ Möbius characterization of hemispheres ⋮ A flat strip theorem for Ptolemaic spaces ⋮ Group actions on geodesic Ptolemy spaces ⋮ Incidence axioms for the boundary at infinity of complex hyperbolic spaces ⋮ Convex geodesic bicombings and hyperbolicity

Cites Work

• Unnamed Item
• A splitting theorem for Alexandrov spaces.
• A cone splitting theorem for Alexandrov spaces
• Affine functions on \(CAT (\kappa )\)-spaces
• Totally geodesic maps into metric spaces
• Hyperbolic manifolds are geodesically rigid

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