Curvature bounds on length-minimizing discs

Alexander Lytchak; Sophia Wagner

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arXiv · 2308.14684

Curvature bounds on length-minimizing discs

Alexander Lytchak·Sophia Wagner

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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.

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Alexander Lytchak, Sophia Wagner. 2023-08-28. Curvature bounds on length-minimizing discs. https://arxiv.org/abs/2308.14684

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