Kirszbraun's Theorem and Metric Spaces of Bounded Curvature |
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| Authors: | U Lang V Schroeder |
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| Institution: | U. Lang, Department of Mathematics, Stanford University, Stanford, CA 94305, USA, e-mail: lang@math.stanford.edu, US
V. Schroeder, Institut für Mathematik, Universit?t Zürich-Irchel; Winterthurer Str. 190, CH-8057 Zürich, e-mail: vschroed@math.unizh.ch, CH
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| Abstract: | We generalize Kirszbraun's extension theorem for Lipschitz maps between (subsets of) euclidean spaces to metric spaces with
upper or lower curvature bounds in the sense of A.D. Alexandrov. As a by-product we develop new tools in the theory of tangent
cones of these spaces and obtain new characterization results which may be of independent interest.
Submitted: June 1996, final version: November 1996 |
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