Lang, U; Schroeder, V (1997). Kirszbraun's theorem and metric spaces of bounded curvature. Geometric and Functional Analysis, 7(3):535-560.
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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.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| DDC: | 510 Mathematics |
| Language: | English |
| Date: | 1997 |
| Deposited On: | 29 Nov 2010 17:28 |
| Last Modified: | 23 Nov 2012 14:00 |
| Publisher: | Birkhäuser |
| ISSN: | 1016-443X |
| Publisher DOI: | 10.1007/s000390050018 |
| Related URLs: | http://www.ams.org/mathscinet-getitem?mr=1466337 http://www.zentralblatt-math.org/zbmath/search/?q=an%3A0891.53046 |
| WoS Citation Count: | 30 |
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