Geodesic
Convex Hull Property and Exclosure Theorems for H-Minimal Hypersurfaces in Carnot Groups
Analysis and Geometry in Metric Spaces, Tome 4 (2016) no. 1.

Voir la notice de l'article provenant de la source The Polish Digital Mathematics Library

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.
Mots-clés : Carnot groups, Sub-Riemannian geometry, H-minimal hypersurfaces, convex hull property, exclosuretheorems 
@article{AGMS_2016_4_1_a1,
     author = {Montefalcone, Francescopaolo},
     title = {Convex {Hull} {Property} and {Exclosure} {Theorems} for {H-Minimal} {Hypersurfaces} in {Carnot} {Groups}},
     journal = {Analysis and Geometry in Metric Spaces},
     publisher = {mathdoc},
     volume = {4},
     number = {1},
     year = {2016},
     zbl = {1347.49081},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/AGMS_2016_4_1_a1/}
}
TY  - JOUR
AU  - Montefalcone, Francescopaolo
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
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/AGMS_2016_4_1_a1/
LA  - en
ID  - AGMS_2016_4_1_a1
ER  - 
%0 Journal Article
%A Montefalcone, Francescopaolo
%T Convex Hull Property and Exclosure Theorems for H-Minimal Hypersurfaces in Carnot Groups
%J Analysis and Geometry in Metric Spaces
%D 2016
%V 4
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/AGMS_2016_4_1_a1/
%G en
%F AGMS_2016_4_1_a1
Montefalcone, Francescopaolo. Convex Hull Property and Exclosure Theorems for H-Minimal Hypersurfaces in Carnot Groups. Analysis and Geometry in Metric Spaces, Tome 4 (2016) no. 1. http://geodesic.mathdoc.fr/item/AGMS_2016_4_1_a1/