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The Double Bubble Problem on the Flat Two-Torus

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arxiv math/0308262 v1 pith:RHTO3Y52 submitted 2003-08-27 math.MG

The Double Bubble Problem on the Flat Two-Torus

classification math.MG
keywords flatdoubleinfinitetwo-toriareasboundarybubblebubbles
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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