Geometric inequalities in sub-Riemannian groups

Details Geometric inequalities in sub-Riemannian groups Geometric inequalities in sub-Riemannian groups

2012-03-27

arxiv.org/abs/1203.5973v1

Mathematics

Differential Geometry

22 pages

Scientific paper

Let G be a sub-Riemannian k-step Carnot group of homogeneous dimension Q. In
this paper, we shall prove several geometric inequalities concerning smooth
hypersurfaces (i.e. codimension one submanifolds) immersed in G, endowed with
the H-perimeter measure.

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