Metric minimizing surfaces revisited
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2017
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| _version_ | 1866917626037403648 |
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| author | Petrunin, Anton Stadler, Stephan |
| author_facet | Petrunin, Anton Stadler, Stephan |
| contents | A surface which 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 intrinsic metric. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1707_09635 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Metric minimizing surfaces revisited Petrunin, Anton Stadler, Stephan Differential Geometry Metric Geometry 53C45, 53C43, 53C23, 30L05 A surface which 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 intrinsic metric. |
| title | Metric minimizing surfaces revisited |
| topic | Differential Geometry Metric Geometry 53C45, 53C43, 53C23, 30L05 |
| url | https://arxiv.org/abs/1707.09635 |