Lang, U; Schroeder, Viktor (1997). Kirszbraun's theorem and metric spaces of bounded curvature. Geometric and Functional Analysis, 7(3):535-560.
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.
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 |
| Dewey Decimal Classification: | 510 Mathematics |
| Language: | English |
| Date: | 1997 |
| Deposited On: | 29 Nov 2010 16:28 |
| Last Modified: | 13 Oct 2019 05:06 |
| Publisher: | Birkhäuser |
| ISSN: | 1016-443X |
| OA Status: | Closed |
| Publisher DOI: | https://doi.org/10.1007/s000390050018 |
| Related URLs: | http://www.ams.org/mathscinet-getitem?mr=1466337 http://www.zentralblatt-math.org/zbmath/search/?q=an%3A0891.53046 |
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Lang, U