CAT(0)-群的测地流
Geodesic flow for CAT(0)-groups
摘要:
我们将CAT(0)-空间与一个流空间联系起来,这个流空间可以用来代替黎曼流形的球面切丛上的测地流。利用这个流空间证明了CAT(0)-群在虚循环群族上是可迁移可约的。这个结果是我们证明这些群的法雷尔-琼斯猜想的一个重要组成部分。
英文摘要:
We associate to a CAT(0)-space a flow space that can be used as the replacement for the geodesic flow on the sphere tangent bundle of a Riemannian manifold. We use this flow space to prove that CAT(0)-group are transfer reducible over the family of virtually cyclic groups. This result is an important ingredient in our proof of the Farrell-Jones Conjecture for these groups.
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