Calculus of Variations and Geometric Measure Theory

A. Figalli - T. Gallouët - L. Rifford

On the convexity of injectivity domains on nonfocal manifolds

created by figalli on 08 Oct 2014
modified on 09 Oct 2014


Accepted Paper

Inserted: 8 oct 2014
Last Updated: 9 oct 2014

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


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.