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20092022
most citedCC-distance and metric normal of smooth hypersurfaces in sub-Riemannian Carnot groups

7 citations · 23 across the 9 of their papers we have counts for

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math.DG2012

An integral formula on the Heisenberg group

Francescopaolo Montefalcone

Let Hn denote the (2n + 1)-dimensional (sub-Riemannian) Heisenberg group. In this note, we shall prove an integral identity (see Theorem 1.2) which generalizes a formula obtained i…

math.DG2012

Geometric inequalities in Carnot groups

Francescopaolo Montefalcone

Let $\GG$ be a sub-Riemannian -step Carnot group of homogeneous dimension . In this paper, we shall prove several geometric inequalities concerning smooth hypersurfaces (i.e.…

math.DG2010★ 5 cited

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

Francescopaolo Montefalcone

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 th…