论文标题
在具有中间曲率下边界的流形的Michael-Simon-Sobolev不等式的最佳运输方法
Optimal Transport Approach to Michael-Simon-Sobolev Inequalities in Manifolds with Intermediate Ricci Curvature Lower Bounds
论文作者
论文摘要
我们将McCann的最佳运输定理推广到子手机设置，并证明Michael-Simon-Sobolev在中间RICCI曲线的歧管中的子延伸物的不平等现象。结果包括S. Brendle的作品Arxiv：2009.13717中尖锐的Michael-Simon-Sobolev不平等的变体，当时中级RICCI曲线是非负的。
We generalize McCann's theorem of optimal transport to a submanifold setting and prove Michael-Simon-Sobolev inequalities for submanifolds in manifolds with lower bounds on intermediate Ricci curvatures. The results include a variant of the sharp Michael-Simon-Sobolev inequality in S. Brendle's work arXiv:2009.13717 when the intermediate Ricci curvatures are nonnegative.
