Calibrations and isoperimetric profiles
Differential Geometry
2007-05-23 v1
Abstract
We equip many non compact non simply connected surfaces with smooth Riemannian metrics whose isoperimetric profile is smooth, a highly non generic property. The computation of the profile is based on a calibration argument, a rearrangement argument, the Bol-Fiala curvature dependent inequality, together with new results on the profile of surfaces of revolution and some hardware know-how.
Cite
@article{arxiv.math/0701203,
title = {Calibrations and isoperimetric profiles},
author = {Renata Grimaldi and Pierre Pansu},
journal= {arXiv preprint arXiv:math/0701203},
year = {2007}
}
Comments
To appear soon in American Journal of Mathematics, a journal published by The Johns Hopkins University Press