Vol. 11, No. 2, 2018

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Double bubbles in hyperbolic surfaces

Wyatt Boyer, Bryan Brown, Alyssa Loving and Sarah Tammen

Vol. 11 (2018), No. 2, 207–217
Abstract

We seek the least-perimeter way to enclose and separate two prescribed areas in certain hyperbolic surfaces.

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Keywords
hyperbolic, isoperimetric, bubbles, perimeter-minimizing
Mathematical Subject Classification 2010
Primary: 49Q10
Secondary: 51M25
Milestones
Received: 15 May 2015
Revised: 28 May 2016
Accepted: 31 May 2016
Published: 17 September 2017

Communicated by Michael Dorff
Authors
Wyatt Boyer
Department of Mathematics and Statistics
Williams College
Williamstown, MA
United States
Bryan Brown
Department of Mathematics
Pomona College
Claremont, CA
United States
Alyssa Loving
Alyssa Loving
Department of Mathematics
University of Hawaii at Hilo
Hilo, HI
United States
Sarah Tammen
Department of Mathematics
University of Georgia
Athens, GA
United States