Metric-minimizing surfaces revisited

Petrunin, Anton und Stadler, Stephan (2019): Metric-minimizing surfaces revisited. In: Geometry & Topology, Bd. 23, Nr. 6: S. 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.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Mathematik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 1465-3060
• Sprache: Englisch