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arXiv · 1406.7721

A transport inequality on the sphere obtained by mass transport

Dario Cordero-Erausquin
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Abstract

Using McCann's transportation map, we establish a transport inequality on compact manifolds with positive Ricci curvature. This inequality contains the sharp spectral comparison estimates.

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Dario Cordero-Erausquin. 2014-06-30. A transport inequality on the sphere obtained by mass transport. https://doi.org/10.2140/pjm.2014.268.23

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