Isoperimetric problem in H-type groups and Grushin spaces
Optimization and Control
2020-12-02 v1 Metric Geometry
Abstract
We study the isoperimetric problem in H-type groups and Grushin spaces, emphasizing a relation between them. We prove existence, symmetry and regularity properties of isoperimetric sets, under a symmetry assumption that depends on the dimension.
Cite
@article{arxiv.1411.5175,
title = {Isoperimetric problem in H-type groups and Grushin spaces},
author = {Valentina Franceschi and Roberto Monti},
journal= {arXiv preprint arXiv:1411.5175},
year = {2020}
}