Petrunin, Anton; Stadler, Stephan (2019): Metric-minimizing surfaces revisited. In: Geometry & Topology, Vol. 23, No. 6: pp. 3111-3139 |
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Abstract
A surface that does not admit a length nonincreasing deformation is called metric-minimizing. We show that metric-minimizing surfaces in CAT(0) spaces are locally CAT(0) with respect to their length metrics.
Item Type: | Journal article |
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Faculties: | Mathematics, Computer Science and Statistics > Mathematics |
Subjects: | 500 Science > 510 Mathematics |
ISSN: | 1465-3060 |
Language: | English |
ID Code: | 82400 |
Deposited On: | 15. Dec 2021 15:01 |
Last Modified: | 15. Dec 2021 15:01 |
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