Calculus of Variations and Geometric Measure Theory
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L. Capogna - S. Pauls - J. Tyson

Convexity and a horizontal second fundamental form for hypersurfaces in Carnot groups

created by scott on 02 Jun 2006

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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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