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A transport
inequality on the sphere obtained by mass transport
Dario Cordero-Erausquin |
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Vol. 268 (2014), No. 1, 23–31
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Abstract |
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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. |
Keywords
transport inequality, Ricci curvature, optimal mass
transport
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Mathematical Subject Classification 2010
Primary: 49Q20, 53C21
Secondary: 60E15
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Milestones
Received: 6 February 2013
Revised: 3 August 2013
Accepted: 7 November 2013
Published: 21 May 2014
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Authors |
| Dario Cordero-Erausquin | |
| Institut de Mathématiques de
Jussieu Université Pierre et Marie Curie (Paris 6) 4 Place Jussieu 75252 Paris Cedex 5 France |
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