Metric-minimizing surfaces revisited

Anton Petrunin, Stephan Stadler

Research output: Contribution to journalArticle

1 Scopus citations

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 languageEnglish (US)
Pages (from-to)3111-3139
Number of pages29
JournalGeometry and Topology
Volume23
Issue number6
DOIs
StatePublished - Jan 1 2019

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

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