Metric minimizing surfaces revisited
Differential Geometry
2024-04-02 v6 Metric Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.1707.09635,
title = {Metric minimizing surfaces revisited},
author = {Anton Petrunin and Stephan Stadler},
journal= {arXiv preprint arXiv:1707.09635},
year = {2024}
}