Counterexamples to Continuity of Optimal Transportation on Positively Curved Riemannian Manifolds
نویسنده
چکیده
Counterexamples to continuity of optimal transportation on Riemannian manifolds with everywhere positive sectional curvature are provided. These examples show that the condition A3w of Ma, Trudinger, & Wang is not guaranteed by positivity of sectional curvature.
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