Strongly Contracting Geodesics in Outer Space
Strongly Contracting Geodesics in Outer Space
复制标题
外层空间的强收缩测地线
DOI：
10.2140/gt.2011.15.2181
复制
发表时间：
2008
期刊：
影响因子：
--
通讯作者：
Yael Algom
中科院分区：
文献类型：
--
作者：
Yael Algom
研究了外空间上的Lipschitz度量，证明了Out（F_n）的完全不可约元是以强收缩轴的双曲等距作用的.作为推论，我们证明了Out（F_n）的Cayley图中完全不可约自同构的轴是稳定的，即端点在轴上的拟测地线保持在离轴有界的距离内.
We study the Lipschitz metric on Outer Space and prove that fully irreducible elements of Out(F_n) act by hyperbolic isometries with axes which are strongly contracting. As a corollary, we prove that the axes of fully irreducible automorphisms in the Cayley graph of Out(F_n) are stable, meaning that a quasi-geodesic with endpoints on the axis stays within a bounded distance from the axis.