Work

Monotone contractions of the boundary of the disc

Year: 2017

Type: article

Abstract: 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.

Authors: Erin Wolf Chambers, Gregory R. Chambers, Arnaud de Mesmay, Tae Tim Ophelders, Regina Rotman

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2607963428

FWCI: 0.26

Cites: 5

Cited by: 1

Related to: 10