@Misc{ figrif09a, author = { Figalli, Alessio and Rifford, Ludovic }, title = { Continuity of optimal transport maps and convexity of injectivity domains on small deformations of S^2 }, journal = { Comm. Pure Appl. Math. }, year = { 2009 }, pages = { }, URL = { http://cvgmt.sns.it/paper/861/ }, note = { cvgmt preprint} }