压缩方法与Lambda引理
Contraction method and Lambda-Lemma
摘要：
通过推广局部（不）稳定流形定理的收缩方法证明，重新证明了有限维梯度流的$λ$ -引理。这仅仅依赖于前向柯西问题。我们得到了一个相当定量的描述（不）稳定的叶，它允许装备每个叶与中央叶流的副本-本地（不）稳定的流形。这些动态增厚是我们最近工作的关键工具。本文提供了他们的建设。
英文摘要：
We reprove the $λ$-Lemma for finite dimensional gradient flows by generalizing the well-known contraction method proof of the local (un)stable manifold theorem. This only relies on the forward Cauchy problem. We obtain a rather quantitative description of (un)stable foliations which allows to equip each leaf with a copy of the flow on the central leaf -- the local (un)stable manifold. These dynamical thickenings are key tools in our recent work [Web]. The present paper provides their construction.
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。
