arXiv (All)
open access
The Isoperimetric Inequality in Higher-Dimensional Heisenberg Groups
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.
Conceptio Open Archive
Analyze & explore related research in Conceptio
Connect this record directly into your research workflow or AI agent. Explore citations across open repositories, query full text, and export structured proof bundles.
This document is indexed with metadata only: full text is not available in the archive for this record. Open the official source ↗
Related documents
- The sharp $L^2$-Michael--Simon inequality#1249733
- The Fourth Continuous Bounded Cohomology of the Complex Symplectic Group#1013717
- Klein bottle and optimal systolic inequality for nonpositively curved surfaces#974804
- Extremals and stability for the Folland-Stein inequality on H-type groups#1104730
- Total scalar curvature under a curvature operator lower bound#1014899
Record · ID 1199179
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Bring this data into your agent: Connect via MCP or API · 20 free credits to start · no card required
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive