Generalized Mean Curvature Flow in Carnot Groups

نویسندگان

  • LUCA CAPOGNA
  • GIOVANNA CITTI
چکیده

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 [29] and [14]. We establish two special cases of the comparison principle, existence, uniqueness and basic geometric properties of the flow.

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تاریخ انتشار 2008