论文标题
熵的刚度和稳定性接近一个
Rigidity and Stability of Submanifolds with Entropy Close to One
论文作者
论文摘要
我们表明，$ n $维的表面的熵接近$ n $尺寸的平面在Hausdorff的距离上接近到每个规模上的$ n $维平面。此外，我们表明，低熵的自膨胀者以豪斯多夫的意义融合到其渐近锥。
We show that an $n$-dimensional surface whose entropy is close to that of an $n$-dimensional plane is close in Hausdorff distance to some $n$-dimensional plane at every scale. Moreover we show that self-expanders of low entropy converge in the Hausdorff sense to their asymptotic cones.
