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Curvature bounds on length-minimizing discs
Author:
Alexander Lytchak, Sophia Wagner
Keyword:
Mathematics, Differential Geometry, Differential Geometry (math.DG), Metric Geometry (math.MG)
journal:
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date:
2023-08-27 16:00:00
Abstract
We show that a length-minimizing disk inherites the upper curvature bound of the target. As a consequence we prove that harmonic discs and ruled discs inherit the upper curvature bound from the ambient space.
PDF:
Curvature bounds on length-minimizing discs.pdf
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