Monotone contractions of the boundary of the disc

E.W. Chambers, G.R. Chambers, A. de Mesmay, T. Ophelders, R. Rotman

Research output: Contribution to journalArticleAcademic

18 Downloads (Pure)


In this paper, we study contractions of the boundary of a Riemannian 2-disc where the maximal length of the intermediate curves is minimized. We prove that with an arbitrarily small overhead in the lengths of the intermediate curves, there exists such an optimal contraction that is monotone, i.e., where the intermediate curves are simple closed curves which are pairwise disjoint. This proves a conjecture of Chambers and Rotman.
Original languageEnglish
Number of pages13
Publication statusPublished - 20 Apr 2017


  • math.DG

Fingerprint Dive into the research topics of 'Monotone contractions of the boundary of the disc'. Together they form a unique fingerprint.

Cite this