Double bubbles in the 3-torus
Authors:
- Miguel Carrión-ÁlvarezMCMiguel Carrión-Álvarez
- Joseph CorneliJCJoseph Corneli
- Genevieve WalshGWGenevieve Walsh
- Shabnam BeheshtiSBShabnam Beheshti
Preprint
Abstract
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.Keywords
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