Geodesic
Metric-minimizing surfaces revisited
Petrunin, Anton1 ; Stadler, Stephan2
1 Department of Mathematics, Pennsylvania State University, University Park, PA, United States
2 Mathematisches Institut der Universität München, München, Germany
Geometry & topology, Tome 23 (2019) no. 6, pp. 3111-3139 Cet article a éte moissonné depuis la source Mathematical Sciences Publishers

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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.

DOI : 10.2140/gt.2019.23.3111
Classification : 53C23, 53C43, 53C45, 30L05
Keywords: metric-minimizing surfaces, intrinsic metric

Petrunin, Anton 1 ; Stadler, Stephan 2

1 Department of Mathematics, Pennsylvania State University, University Park, PA, United States
2 Mathematisches Institut der Universität München, München, Germany 
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Petrunin, Anton; Stadler, Stephan. Metric-minimizing surfaces revisited. Geometry & topology, Tome 23 (2019) no. 6, pp. 3111-3139. doi: 10.2140/gt.2019.23.3111

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