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Double bubbles in the 3-torus

Miguel Carrión-Álvarez·Joseph Corneli·Genevieve Walsh·Shabnam Beheshti
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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.

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BibTeXRIS

Miguel Carrión-Álvarez, Joseph Corneli, Genevieve Walsh, Shabnam Beheshti. 2002-08-15. Double bubbles in the 3-torus. https://arxiv.org/abs/math/0208120

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