The double bubble problem on the flat two-torus-Reference-Cited by-同舟云学术

The double bubble problem on the flat two-torus

Published:2004-03-12 Issue:9 Volume:356 Page:3769-3820
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Corneli Joseph,Holt Paul,Lee George,Leger Nicholas,Schoenfeld Eric,Steinhurst Benjamin

Abstract

We characterize the perimeter-minimizing double bubbles on all flat two-tori and, as corollaries, on the flat infinite cylinder and the flat infinite strip with free boundary. Specifically, we show that there are five distinct types of minimizers on flat two-tori, depending on the areas to be enclosed.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2004-356-09/S0002-9947-04-03551-2/S0002-9947-04-03551-2.pdf

Reference15 articles.

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