Convex Hull Property and Exclosure Theorems for H-Minimal Hypersurfaces in Carnot Groups
Francescopaolo Montefalcone
Analysis and Geometry in Metric Spaces, Tome 4 (2016), / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2016-01-01
EUDML-ID : urn:eudml:doc:286738 
@article{bwmeta1.element.doi-10_1515_agms-2016-0008,
     author = {Francescopaolo Montefalcone},
     title = {Convex Hull Property and Exclosure Theorems for H-Minimal Hypersurfaces in Carnot Groups},
     journal = {Analysis and Geometry in Metric Spaces},
     volume = {4},
     year = {2016},
     zbl = {1347.49081},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_agms-2016-0008}
}

Francescopaolo Montefalcone. Convex Hull Property and Exclosure Theorems for H-Minimal Hypersurfaces in Carnot Groups. Analysis and Geometry in Metric Spaces, Tome 4 (2016) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_agms-2016-0008/