Optimal transportation on non-compact manifolds
2007; Cornell University; Linguagem: Inglês
10.48550/arxiv.0711.4519
AutoresAlbert Fathi, Alessio Figalli,
Tópico(s)Mathematical Dynamics and Fractals
ResumoIn 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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