Calculus of Variations and Geometric Measure Theory
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A. Fathi - A. Figalli

Optimal transportation on non-compact manifolds

created by figalli on 07 Nov 2007

[BibTeX]

Accepted Paper

Inserted: 7 nov 2007

Journal: Israel J. Math.
Year: 2007

Abstract:

In this work, we show how to obtain for non-compact manifolds the results that have already been done for Monge Transport Problem for costs coming from Tonelli Lagrangians on compact manifolds. In particular, the already known results for a cost of the type $d^r,r>1$, where $d$ is the Riemannian distance of a complete Riemannian manifold, hold without any curvature restriction.


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