Year: 2026
Type: preprint
Abstract: We prove the sharp horizontal isoperimetric inequality in the first Heisenberg group for all sets of finite horizontal perimeter and positive finite volume, with equality precisely for left translates and dilates of the Pansu ball.
Source: arXiv (Cornell University)
Authors: Chen, Wei-Chun, Kao, Wei-Ting, Lien, Chun-Kai
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7220898692