Geometric inequalities in Carnot groups
Differential Geometry
2012-10-03 v2
Abstract
Let be a sub-Riemannian -step Carnot group of homogeneous dimension . In this paper, we shall prove several geometric inequalities concerning smooth hypersurfaces (i.e. codimension one submanifolds) immersed in , endowed with the -perimeter measure.
Keywords
Cite
@article{arxiv.1203.5973,
title = {Geometric inequalities in Carnot groups},
author = {Francescopaolo Montefalcone},
journal= {arXiv preprint arXiv:1203.5973},
year = {2012}
}
Comments
26 pages