Almost isoperimetric extremisers of two subriemannian probability measures
Metric Geometry
2025-09-16 v1
Abstract
We prove the existence of almost isoperimetric extremisers for two classes of probability measures defined respectively on the Grushin space and a stratified Lie group. It turns out such extremisers can be regarded as a type of anisotropic half-space.
Keywords
Cite
@article{arxiv.2509.10889,
title = {Almost isoperimetric extremisers of two subriemannian probability measures},
author = {Yaozhong W. Qiu},
journal= {arXiv preprint arXiv:2509.10889},
year = {2025}
}
Comments
10 pages, first submission