The Double Bubble Problem on the Flat Two-Torus
Metric Geometry
2009-09-29 v1
Abstract
We characterize the perimeter-minimizing double bubbles on all flat two-tori and, as corollaries, on the flat infinite cylinder and the flat infinite strip with free boundary. Specifically, we show that there are five distinct types of minimizers on flat two-tori, depending on the areas to be enclosed.
Keywords
Cite
@article{arxiv.math/0308262,
title = {The Double Bubble Problem on the Flat Two-Torus},
author = {Joseph Corneli and Paul Holt and George Lee and Nicholas Leger and Eric Schoenfeld and Benjamin Steinhurst},
journal= {arXiv preprint arXiv:math/0308262},
year = {2009}
}
Comments
52 pages, 38 figures; full-resolution version available at http://wso.williams.edu/~eschoenf/geom