The double bubble problem on the flat two-torus
Authors:
- Joseph CorneliJCJoseph Corneli
- Paul HoltPHPaul Holt
- George LeeGLGeorge Lee
- Nicholas LegerNLNicholas Leger
- Eric SchoenfeldESEric Schoenfeld
- Benjamin SteinhurstBSBenjamin Steinhurst
Open Access
- 12 March 2004
- journal article
- Published by American Mathematical Society (AMS) in Transactions of the American Mathematical Society
- Vol. 356 (9) , 3769-3820
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.Keywords
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