We study geometric properties of the Carnot-Carathéodory signed distance δs to a smooth hypersurface S in some 2-step Carnot groups. In particular, a sub-Riemannian version of Gauss' Lemma is proved.
Regularity of the distance function to smooth hypersurfaces in some two-step carnot groups
ARCOZZI, NICOLA;FERRARI, FAUSTO;
2017
Abstract
We study geometric properties of the Carnot-Carathéodory signed distance δs to a smooth hypersurface S in some 2-step Carnot groups. In particular, a sub-Riemannian version of Gauss' Lemma is proved.File in questo prodotto:
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