论文标题
克利福德自我撕裂者的刚性和lojasiewicz不平等
Rigidity and Łojasiewicz inequalities for Clifford self-shrinkers
论文作者
论文摘要
我们表明，两个圆形缩小球的产物是任何编码，模量旋转中的一个孤立的自我脱落器。此外，我们证明了此类产品附近明确的oljasiewicz不平等现象。先前使用Schulze使用了lojasiewicz的不平等现象，以证明紧凑型收缩剂在紧凑型收缩术时的唯一性。我们的结果为两个球体的产品提供了明确的收敛速度。
We show that the product of two round shrinking spheres is an isolated self-shrinker in any codimension, modulo rotations. Moreover we prove explicit Łojasiewicz inequalities near such products. Łojasiewicz inequalities were previously used by Schulze to prove uniqueness of tangent mean curvature flows at compact shrinkers; our results provide an explicit rate of convergence to products of two spheres.
