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The double bubble problem on the flat two-torus

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

Source record

Source: Crossref

Published: Mar 12, 2004

DOI: 10.1090/s0002-9947-04-03551-2

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Source 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.

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The double bubble problem on the flat two-torus — Mathematical Frontier Network