### Double Bubbles in the Three-Torus

Miguel Carrión Álvarez, Joseph Corneli, Genevieve Walsh, and Shabnam Beheshti
Source: Experiment. Math. Volume 12, Issue 1 (2003), 79-89.

#### Abstract

We present a conjecture, based on computational results, on the area-minimizing method of enclosing and separating two arbitrary volumes in the flat cubic three-torus, $T^3$. For comparable small volumes, we prove that the standard double bubble from $R^3$ is area-minimizing.

First Page:
Primary Subjects: 49Q20
Secondary Subjects: 49-04
Full-text: Open access