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Introduction to Optimal Transport

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Sub-Riemannian Geometry and Optimal Transport

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Abstract

This Chapter is concerned with the study of optimal transport maps in the sub-Riemannian setting. We first provide a course in optimal transport theory. Then we study the well-posedness of the Monge problem for sub-Riemannian quadratic costs.

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Authors and Affiliations

  1. Laboratoire J.A. Dieudonné, Université Nice Sophia Antipolis, Nice, France

    Ludovic Rifford

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  1. Ludovic Rifford
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Correspondence to Ludovic Rifford .

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Rifford, L. (2014). Introduction to Optimal Transport. In: Sub-Riemannian Geometry and Optimal Transport. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-04804-8_3

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