论文标题
Wasserstein Tori和Spheres的等距刚度
Isometric rigidity of Wasserstein tori and spheres
论文作者
论文摘要
我们证明了$ p $ wasserstein的等距刚度，而有限维摩托车和所有$ p $的球体。我们提出了一种统一的方法来证明刚性的方法，该方法依赖于从其遗体潜力中恢复措施的强大方法。
We prove isometric rigidity for $p$-Wasserstein spaces over finite-dimensional tori and spheres for all $p$. We present a unified approach to proving rigidity that relies on the robust method of recovering measures from their Wasserstein potentials.
