Accepted Paper

Inserted: 8 oct 2014
Last Updated: 9 oct 2014

Journal: SIAM J. Math. Anal.
Year: 2014

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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• On the convexity of injectivity domains on nonfocal manifolds.pdf