Pré-print Acesso aberto

Optimal transportation on non-compact manifolds

2007; Cornell University; Linguagem: Inglês

10.48550/arxiv.0711.4519

Autores

Albert Fathi, Alessio Figalli,

Tópico(s)

Mathematical Dynamics and Fractals

Resumo

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.

Referência(s)