On the Convexity of Injectivity Domains on Nonfocal Manifolds

نویسندگان

  • Alessio Figalli
  • Thomas O. Gallouët
  • Ludovic Rifford
چکیده

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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عنوان ژورنال:
  • SIAM J. Math. Analysis

دوره 47  شماره 

صفحات  -

تاریخ انتشار 2015