Double bubbles in the 3-torus

Details Double bubbles in the 3-torus Double bubbles in the 3-torus

2002-08-15

arxiv.org/abs/math/0208120v1

Mathematics

Differential Geometry

13 pages, 4 figures. Prepared on behalf of the participants in the Clay Mathematics Institute Summer School on the Global Theo

Scientific paper

We present a conjecture, based on computational results, on the area
minimizing way to enclose and separate two arbitrary volumes in the flat cubic
3-torus. For comparable small volumes, we prove that an area minimizing double
bubble in the 3-torus is the standard double bubble from R^3.

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