Metric-minimizing surfaces revisited

Petrunin, Anton und Stadler, Stephan (2019): Metric-minimizing surfaces revisited. In: Geometry & Topology, Vol. 23, No. 6: pp. 3111-3139

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
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 1465-3060
• Language: English