Convex Hull Property and Exclosure Theorems for H-Minimal Hypersurfaces in Carnot Groups

• Autorzy: Francescopaolo Montefalcone
• Języki publikacji: EN

Abstrakty

EN

In this paper, we generalize to sub-Riemannian Carnot groups some classical results in the theory of minimal submanifolds. Our main results are for step 2 Carnot groups. In this case, we will prove the convex hull property and some “exclosure theorems” for H-minimal hypersurfaces of class C2 satisfying a Hörmander-type condition.

Słowa kluczowe

EN

Carnot groups; Sub-Riemannian geometry; H-minimal hypersurfaces; convex hull property; exclosuretheorems

• Wydawca: De Gruyter Open
• Czasopismo: Analysis and Geometry in Metric Spaces
• Rocznik: 2016
• Tom: 4
• Numer: 1

Daty

zaakceptowano

2016-08-04

online

2016-09-20

otrzymano

2016-11-09

Twórcy

autor

Francescopaolo Montefalcone

• Dipartimento di Matematica, Università degli Studi di Padova, Via Trieste 63, 35121 Padova, Italy

Identyfikatory

DOI

10.1515/agms-2016-0008