希尔伯特空间中一类不变超曲面的中曲率流的坍缩
Collapse of the mean curvature flow for certain kind of invariant hypersurfaces in a Hilbert space
摘要：
本文研究了从希尔伯特空间中的不变超曲面出发的正则化中曲率流，该超曲面具有Hilbert李群的等距几乎自由作用，且其轨道是正则化极小的.证明了如果不变超曲面满足某种水平凸性条件，则它沿正则化中曲率流坍缩到Hilbert李群作用的轨道上.
英文摘要：
In this paper, we investigate the regularized mean curvature flow starting from an invariant hypersurface in a Hilbert space equipped with an isometric and almost free action of a Hilbert Lie group whose orbits are regularized minimal. We prove that, if the invariant hypersurface satisfies a certain kind of horizontally convexity condition, then it collapses to an orbit of the Hilbert Lie group action along the regularized mean curvature flow.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
