The double bubble problem on the flat two-torus

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

doi:10.1090/S0002-9947-04-03551-2

The double bubble problem on the flat two-torus
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by Joseph Corneli, Paul Holt, George Lee, Nicholas Leger, Eric Schoenfeld and Benjamin Steinhurst PDF

Trans. Amer. Math. Soc. 356 (2004), 3769-3820 Request permission

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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