Weak Fubini property and infinity harmonic functions in Riemannian and sub-Riemannian manifolds

Dragoni, Federica ORCID: https://orcid.org/0000-0001-6076-9725, Manfredi, Juan J. and Vittone, Davide 2013. Weak Fubini property and infinity harmonic functions in Riemannian and sub-Riemannian manifolds. Transactions of the American Mathematical Society 365 , pp. 837-859. 10.1090/S0002-9947-2012-05612-1

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Abstract

We examine the relationship between infinity harmonic functions, absolutely minimizing Lipschitz extensions, strong absolutely minimizing Lipschitz extensions, and absolutely gradient minimizing extensions in Carnot-Carath´eodory spaces. Using the weak Fubini property we show that absolutely minimizing Lipschitz extensions are infinity harmonic in any sub-Riemannian manifold.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Schools > Mathematics
Subjects:	Q Science > QA Mathematics
Additional Information:	First published in Transactions of the American Mathematical Society in volume 365, 2013, published by the American Mathematical Society
Publisher:	American Mathematical Society
ISSN:	0002-9947
Date of First Compliant Deposit:	30 March 2016
Last Modified:	03 May 2023 08:57
URI:	https://orca.cardiff.ac.uk/id/eprint/39158

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