论文标题

平滑的有限级双利利双同构的三态同构

Smoothing finite-order bilipschitz homeomorphisms of 3-manifolds

论文作者

Grillet, Lucien

论文摘要

我们表明,对于$ \ varepsilon = \ dfrac {1} {4000} $,在$(1+ \ varepsilon)$ - bilipschitz同态上,有限循环群的任何动作都在封闭的3个manifold上是平稳的动作。

We show that, for $\varepsilon=\dfrac{1}{4000}$, any action of a finite cyclic group by $(1+\varepsilon)$-bilipschitz homeomorphisms on a closed 3-manifold is conjugated to a smooth action.

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