Contracting thin disks

Panos Papasoglu

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arXiv · 1309.2967

Contracting thin disks

Panos Papasoglu

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Abstract

We answer a question of Liokumovich-Nabutovsky-Rotman showing that if D is a Riemannian 2-disc with boundary length L, diameter d and area A << d then D can be filled by a homotopy where the lengths of the intermediate curves are bounded by $L+2d+O(\sqrt A)$.

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Panos Papasoglu. 2013-09-17. Contracting thin disks. https://arxiv.org/abs/1309.2967

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