论文标题

基于广义的Lawson-Osserman锥体的平均曲率流量自我扩张

Self-expanders to the mean curvature flow based on the generalized Lawson-Osserman cone

论文作者

Lee, Chen-Kuan

论文摘要

我们得出基于广义的Lawson-Osserman锥的平均曲率流的方程式,并通过修改自主系统中的平衡理论来证明自我膨胀者的存在。特别是,如果给出局部假设,那些自我膨胀者是唯一的。

We derive the equation of self-similar solutions to mean curvature flow based on the generalized Lawson-Osserman cone and prove the existence of self-expanders by modifying the theory of equilibria in the autonomous system. In particular, those self-expanders are unique if a local assumption is given.

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