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arXiv · 1404.0141

On the convexity of injectivity domains on nonfocal manifolds

Alessio Figalli·Thomas Gallouët·Ludovic Rifford
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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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Alessio Figalli, Thomas Gallouët, Ludovic Rifford. 2014-04-01. On the convexity of injectivity domains on nonfocal manifolds. https://arxiv.org/abs/1404.0141

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