Local Monotonicity and Isoperimetric Inequality on Hypersurfaces in Carnot groups
Let G be a k-step Carnot group of homogeneous dimension Q.Later on we shall present some of the results recently obtained in [32] taylor te400 and, in particular, an intrinsic isoperimetric inequality for a C2-smooth compact hypersurface S with boundary @S.We stress that S and @S are endowed with the homogeneous measures n????1 H and n????2 H , res