Quantitative isoperimetric inequalities in H^n
Optimization and Control
2020-12-02 v1 Metric Geometry
Abstract
In the Heisenberg group H^n, we prove quantitative isoperimetric inequalities for Pansu's spheres, that are known to be isoperimetric under various assumptions. The inequalities are shown for suitably restricted classes of competing sets and the proof relies on the construction of sub-calibrations.
Keywords
Cite
@article{arxiv.1503.06587,
title = {Quantitative isoperimetric inequalities in H^n},
author = {Valentina Franceschi and Gian Paolo Leonardi and Roberto Monti},
journal= {arXiv preprint arXiv:1503.06587},
year = {2020}
}