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

Francescopaolo Montefalcone. "Convex Hull Property and Exclosure Theorems for H-Minimal Hypersurfaces in Carnot Groups." Analysis and Geometry in Metric Spaces 4.1 (2016): 216-235, electronic only. <http://eudml.org/doc/286738>.

@article{FrancescopaoloMontefalcone2016,
abstract = {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.},
author = {Francescopaolo Montefalcone},
journal = {Analysis and Geometry in Metric Spaces},
keywords = {Carnot groups; Sub-Riemannian geometry; H-minimal hypersurfaces; convex hull property; exclosure theorems; sub-Riemannian geometry; -minimal hypersurfaces; exclosure theorems},
language = {eng},
number = {1},
pages = {216-235, electronic only},
title = {Convex Hull Property and Exclosure Theorems for H-Minimal Hypersurfaces in Carnot Groups},
url = {http://eudml.org/doc/286738},
volume = {4},
year = {2016},
}

TY - JOUR
AU - Francescopaolo Montefalcone
TI - Convex Hull Property and Exclosure Theorems for H-Minimal Hypersurfaces in Carnot Groups
JO - Analysis and Geometry in Metric Spaces
PY - 2016
VL - 4
IS - 1
SP - 216
EP - 235, electronic only
AB - 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.
LA - eng
KW - Carnot groups; Sub-Riemannian geometry; H-minimal hypersurfaces; convex hull property; exclosure theorems; sub-Riemannian geometry; -minimal hypersurfaces; exclosure theorems
UR - http://eudml.org/doc/286738
ER -