Author:
Julia Antoine,Nicolussi Golo Sebastiano,Vittone Davide
Abstract
AbstractWe consider submanifolds of sub-Riemannian Carnot groups with intrinsic $$C^1$$
C
1
regularity ($$C^1_H$$
C
H
1
). Our first main result is an area formula for $$C^1_H$$
C
H
1
intrinsic graphs; as an application, we deduce density properties for Hausdorff measures on rectifiable sets. Our second main result is a coarea formula for slicing $$C^1_H$$
C
H
1
submanifolds into level sets of a $$C^1_H$$
C
H
1
function.
Publisher
Springer Science and Business Media LLC
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