On the convexity of injectivity domains on nonfocal manifolds
classification
🧮 math.DG
keywords
convexitydomainsinjectivitynonfocalcompactconditiongivenimplies
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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.
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