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Uniqueness of minimal diffeomorphisms between surfaces
Bulletin of the London Mathematical Society ( IF 0.9 ) Pub Date : 2021-04-26 , DOI: 10.1112/blms.12493
Vladimir Marković 1
Affiliation  

We prove that there exists at most one minimal diffeomorphism in a given homotopy class between any two closed Riemannian surfaces. This results was previously known only under the assumption that the Riemannian metrics have constant Gaussian curvature. Along the way, we prove the New Main Inequality which substantially strengthens the classical Reich–Strebel inequality for quasiconformal maps.

中文翻译:

曲面间最小微分同胚的唯一性

我们证明在任意两个闭合黎曼曲面之间的给定同伦类中至多存在一个最小微分同胚。该结果以前仅在黎曼度量具有恒定高斯曲率的假设下才知道。一路上,我们证明了新的主要不等式,它大大加强了拟共形映射的经典 Reich-Strebel 不等式。
更新日期:2021-04-26
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