Double bubbles in the 3-torus
Differential Geometry
2019-02-07 v1 Geometric Topology
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.
Cite
@article{arxiv.math/0208120,
title = {Double bubbles in the 3-torus},
author = {Miguel Carrión-Álvarez and Joseph Corneli and Genevieve Walsh and Shabnam Beheshti},
journal= {arXiv preprint arXiv:math/0208120},
year = {2019}
}
Comments
13 pages, 4 figures. Prepared on behalf of the participants in the Clay Mathematics Institute Summer School on the Global Theory of Minimal Surfaces, held at the Mathematical Sciences Research Institute in Berkeley, California, Summer 2001