PreprintarXiv licencearXiv
The Isoperimetric Inequality in Higher-Dimensional Heisenberg Groups
Abstract
We prove the sharp horizontal isoperimetric inequality in ℍn, n≥2, with equality precisely for left translates and Heisenberg dilations of Pansu balls, up to Haar-null sets.
Related
- The Bernstein problem in higher dimensional Heisenberg groups
- The Sharp Isoperimetric Inequality in the First Heisenberg Group
- On the isoperimetric profile in infinite dimensional pro-Lie groups
- On low-dimensional uniform rectifiability in Heisenberg groups - Part 2
- A Higher dimensional log Riemann--Hurwitz inequality and rigidity of covers
BibTeX
@misc{chen2026isoperimetric,
title = {{The Isoperimetric Inequality in Higher-Dimensional Heisenberg Groups}},
author = {Wei-Chun Chen and Wei-Ting Kao and Chun-Kai Lien},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.03905},
eprint = {2610.03905},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.03905},
}
RIS
TY - UNPB
TI - The Isoperimetric Inequality in Higher-Dimensional Heisenberg Groups
AU - Wei-Chun Chen
AU - Wei-Ting Kao
AU - Chun-Kai Lien
PY - 2026
DA - 2026/10/02
PB - arXiv
DO - 10.48550/arxiv.2610.03905
UR - https://arxiv.org/abs/2610.03905
AB - We prove the sharp horizontal isoperimetric inequality in ℍ^n, n≥2, with equality precisely for left translates and Heisenberg dilations of Pansu balls, up to Haar-null sets.
ER -