6533b82efe1ef96bd129347d
RESEARCH PRODUCT
Lipschitz Functions on Submanifolds of Heisenberg Groups
Antoine JuliaSebastiano Nicolussi GoloDavide Vittonesubject
differentiaaligeometriaGeneral MathematicsMathematics::Metric GeometryLien ryhmätryhmäteoriamonistotdescription
Abstract We study the behavior of Lipschitz functions on intrinsic $C^1$ submanifolds of Heisenberg groups: our main result is their almost everywhere tangential Pansu differentiability. We also provide two applications: a Lusin-type approximation of Lipschitz functions on ${\mathbb {H}}$-rectifiable sets and a coarea formula on ${\mathbb {H}}$-rectifiable sets that completes the program started in [18].
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2022-03-29 |