正曲黎曼流形上最优输运连续性的反例
Counterexamples to continuity of optimal transportation on positively curved Riemannian manifolds
摘要：
给出了截面曲率处处为正的黎曼流形上最优输运连续性的反例。这些例子表明Ma，Trudinger，& Wang的条件A3w不能由截面曲率的正性保证。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
