The Double Bubble Problem on the Flat Two-Torus

Details The Double Bubble Problem on the Flat Two-Torus The Double Bubble Problem on the Flat Two-Torus

2003-08-27

arxiv.org/abs/math/0308262v1

Mathematics

Metric Geometry

52 pages, 38 figures; full-resolution version available at http://wso.williams.edu/~eschoenf/geom

Scientific paper

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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