Kirszbraun's Theorem and Metric Spaces of Bounded Curvature
- 194 Downloads
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.
KeywordsEuclidean Space Bound Curvature Lower Curvature Independent Interest Characterization Result
Unable to display preview. Download preview PDF.