Submitted Paper

Inserted: 2 jun 2006

Year: 2006

Abstract:

We use a Riemannian approximation scheme to give a characterization for smooth convex functions on a Carnot group (in the sense of Danielli–Garofalo–Nhieu or Lu–Manfredi–Stroffolini) in terms of the positive semidefiniteness of the horizontal second fundamental form of their graph.

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• convexity-5-10.pdf