The Log Convex Density Conjecture in Hyperbolic Space
Metric Geometry
2016-10-25 v1
Abstract
The isoperimetric problem with a density or weighting seeks to enclose prescribed weighted area with minimum weighted perimeter. According to Chambers' recent proof of the Log Convex Density Conjecture, for many densities on the answer is a sphere about the origin. We generalize his results from to with related but different volume and perimeter densities.
Cite
@article{arxiv.1610.07043,
title = {The Log Convex Density Conjecture in Hyperbolic Space},
author = {Leonardo Di Giosia and Jahangir Habib and Lea Kenigsberg and Dylanger Pittman and Weitao Zhu},
journal= {arXiv preprint arXiv:1610.07043},
year = {2016}
}