Regularity of $C^1$ surfaces with prescribed mean curvature in three-dimensional contact sub-Riemannian manifolds
In this paper we consider surfaces of class $C^1$ with continuous prescribed mean curvature in a three-dimensional contact sub-Riemannian manifold and prove that their characteristic curves are of class $C^2$. This regularity result also holds for critical points of the sub-Riemannian perimeter unde...
Gespeichert in:
Hauptverfasser: | , |
---|---|
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext bestellen |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
Zusammenfassung: | In this paper we consider surfaces of class $C^1$ with continuous prescribed
mean curvature in a three-dimensional contact sub-Riemannian manifold and prove
that their characteristic curves are of class $C^2$. This regularity result
also holds for critical points of the sub-Riemannian perimeter under a volume
constraint. All results are valid in the first Heisenberg group $\mathbb{H}^1$. |
---|---|
DOI: | 10.48550/arxiv.1501.07246 |