Convex Hull Property and Exclosure Theorems for H-Minimal Hypersurfaces in Carnot Groups
Author:
Montefalcone Francescopaolo1
Affiliation:
1. 1Dipartimento di Matematica, Università degli Studi di Padova, Via Trieste 63, 35121 Padova, Italy
Abstract
AbstractIn 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.
Publisher
Walter de Gruyter GmbH
Subject
Applied Mathematics,Geometry and Topology,Analysis
Reference1 articles.
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