Buyalo, S; Schroeder, Viktor (2001). Extension of Lipschitz maps into 3-manifolds. Asian Journal of Mathematics, 5(4):685-704.
We prove that the universal covering Y of a closed nonpositively curved 3-dimensional Riemannian manifold possesses the following Lipschitz extension property: there exists a constant c ≥ 1 such that every λ-Lipschitz map f : S → Y defined on s subset S of an arbitrary metric space X has a cλ-Lipschitz extension f¯ : X → Y.
We prove that the universal covering Y of a closed nonpositively curved 3-dimensional Riemannian manifold possesses the following Lipschitz extension property: there exists a constant c ≥ 1 such that every λ-Lipschitz map f : S → Y defined on s subset S of an arbitrary metric space X has a cλ-Lipschitz extension f¯ : X → Y.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Language: | English |
| Date: | 2001 |
| Deposited On: | 29 Nov 2010 16:27 |
| Last Modified: | 23 Jan 2022 14:39 |
| Publisher: | International Press |
| ISSN: | 1093-6106 |
| OA Status: | Closed |
| Free access at: | Official URL. An embargo period may apply. |
| Official URL: | http://www.intlpress.com/AJM/p/2001/5_4/AJM-5-4-685-704.pdf |
| Related URLs: | http://www.ams.org/mathscinet-getitem?mr=1913816 http://www.zentralblatt-math.org/zbmath/search/?q=an%3A1020.53024 http://www.intlpress.com/AJM/AJM-v05.php#AJM-5-4 (Publisher) |
Buyalo, S