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3. Monge's transport problem in the Heisenberg group

Author

De Pascale, Luigi and Rigot, Severine

Subjects
Mathematics - Analysis of PDEs, Mathematics - Metric Geometry, 49Q20, 53C17
Abstract

We prove the existence of solutions to Monge transport problem between two compactly supported Borel probability measures in the Heisenberg group equipped with its Carnot-Caratheodory distance assuming that the initial measure is absolutely continuous with respect to the Haar measure of the group.

Published
2010

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