Isoperimetric and Sobolev inequalities on hypersurfaces in sub-Riemannian Carnot groups

Autor:	Montefalcone, Francescopaolo
Rok vydání:	2010
Předmět:	Mathematics - Differential Geometry 49Q15 46E35 22E60
Druh dokumentu:	Working Paper
Popis:	Let G be a k-step Carnot group. We prove an isoperimetric-type inequality for compact C^2-smooth immersed hypersurfaces with boundary, involving the horizontal mean curvature of the hypersurface. This generalizes an inequality due to Michael and Simon, and Allard, independently. Some applications are discussed. Comment: 43 pages. arXiv admin note: text overlap with arXiv:0910.5656
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1012.2442 Zobrazit plný text záznamu View this record from Arxiv