Work

The Isoperimetric Inequality in Higher-Dimensional Heisenberg Groups

Year: 2026
Type: preprint
Abstract: We prove the sharp horizontal isoperimetric inequality in $\mathbb H^n$, $n\ge2$, with equality precisely for left translates and Heisenberg dilations of Pansu balls, up to Haar-null sets.
Language: English
Open Access status: green
OpenAlex ID: W7220738538
Cites: 5
Cited by: 1
Related to: 10