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On the Convexity of Injectivity Domains on Nonfocal Manifolds
2015
SIAM Journal on Mathematical Analysis
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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.
doi:10.1137/140961821
fatcat:jm7gp5b5bngxhkafklw3ol3n7y