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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 3111-3139 |
| Number of pages | 29 |
| Journal | Geometry and Topology |
| Volume | 23 |
| Issue number | 6 |
| DOIs | |
| State | Published - 2019 |
All Science Journal Classification (ASJC) codes
- Geometry and Topology
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