Communications in Partial Differential Equations
In this paper we study the generalized mean curvature flow of sets in the sub-Riemannian geometry of Carnot groups. We extend to our context the level sets method and the weak (viscosity) solutions introduced in the Euclidean setting in  and . We establish two special cases of the comparison principle, existence, uniqueness and basic geometric properties of the flow.
Carnot groups, Mean curvature flow, Sub-Riemannian geometry
Capogna, Luca and Citti, Giovanna, "Generalized Mean Curvature Flow in Carnot Groups" (2009). Mathematics and Statistics: Faculty Publications, Smith College, Northampton, MA.