The isoperimetric problem for Lens spaces
Differential Geometry
2017-02-21 v1
Abstract
We solve the isoperimetric problem in the Lens spaces with large fundamental group. Namely, we prove that the isoperimetric surfaces are geodesic spheres or tori of revolution about geodesics. We also show that the isoperimetric problem in L(3,1) and L(3,2) follows from the proof of the Willmore conjecture by Marques and Neves.
Cite
@article{arxiv.1702.05816,
title = {The isoperimetric problem for Lens spaces},
author = {Celso Viana},
journal= {arXiv preprint arXiv:1702.05816},
year = {2017}
}
Comments
24 pages, 3 figures