Document Type

Article

Publication Date

3-12-2010

Publication Title

Transactions of the American Mathematical Society

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.

Volume

362

Issue

8

First Page Number

4045

Last Page Number

4062

DOI

10.1090/S0002-9947-10-04768-9

Version

Preprint

Publisher Statement

First published in Transactions of the American Mathematical Society in 362(8), 2010, published by the American Mathematical Society.

Rights

© Copyright 2010 American Mathematical Society The copyright for this article reverts to public domain 28 years after publication.

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