On the convexity of injectivity domains on nonfocal manifolds - Inria - Institut national de recherche en sciences et technologies du numérique
Journal Articles SIAM Journal on Mathematical Analysis Year : 2015

On the convexity of injectivity domains on nonfocal manifolds

Abstract

Given a smooth nonfocal compact Riemannian manifold, we show that the so-called Ma--Trudinger--Wang condition implies the convexity of injectivity domains. This improves a previous result by Loeper and Villani.

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Differential Geometry [math.DG] Functional Analysis [math.FA]
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Thomas Gallouët  : Connect in order to contact the contributor

https://inria.hal.science/hal-00968354

Submitted on : Monday, March 31, 2014-7:27:24 PM

Last modification on : Thursday, May 2, 2024-2:00:55 PM

Long-term archiving on : Monday, April 10, 2017-7:59:55 AM

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hal-00968354 , version 1 (31-03-2014)

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Alessio Figalli, Thomas Gallouët, Ludovic Rifford. On the convexity of injectivity domains on nonfocal manifolds. SIAM Journal on Mathematical Analysis, 2015, 47 (2), pp.969--1000. ⟨hal-00968354⟩

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