Existence of Least-perimeter Partitions
Metric Geometry
2009-11-13 v2 Differential Geometry
Abstract
We prove the existence of a perimeter-minimizing partition of R^n into regions of unit volume. We conclude with a short tribute to the late Manuel A. Fortes.
Cite
@article{arxiv.0711.4228,
title = {Existence of Least-perimeter Partitions},
author = {Frank Morgan},
journal= {arXiv preprint arXiv:0711.4228},
year = {2009}
}
Comments
5 pages; for submission to Fortes memorial isue of Philosphical Magazine Letters