Convexity and horizontal second fundamental forms for hypersurfaces in Carnot groups-Reference-Cited by-同舟云学术

Convexity and horizontal second fundamental forms for hypersurfaces in Carnot groups

Published:2010-03-12 Issue:8 Volume:362 Page:4045-4062
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Capogna Luca,Pauls Scott,Tyson Jeremy

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2010-362-08/S0002-9947-10-04768-9/S0002-9947-10-04768-9.pdf

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