Papers › Metric minimizing surfaces revisited

Metric minimizing surfaces revisited

30 Jul 2017arXiv:1707.09635links table onlyarchive 2025-07-28

Anton Petrunin, Stephan Stadler

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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.

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