论文标题

CAT(0)空间中的均方根摩尔斯摩尔斯(Morse Geodesics):较低的差异和超平面表征

Sublinearly Morse Geodesics in CAT(0) Spaces: Lower Divergence and Hyperplane Characterization

论文作者

Murray, Devin, Qing, Yulan, Zalloum, Abdul

论文摘要

我们介绍了CAT(0)空间中的Geodesic Rays K-Lower Divergence的概念。在Charney和Sultan的作品的基础上,我们使用K-Lower Divergence和K-Slim三角形进行了各种特征,以合同的Geodesic Rays。我们还使用良好分离的超平面序列来表征CAT(0)立方体复合物中K合同的大地射线。

We introduce the notion of k-lower divergence for geodesic rays in CAT(0) spaces. Building on the work of Charney and Sultan we give various characterizations of k-contracting geodesic rays using k-lower divergence and k-slim triangles. We also characterize k-contracting geodesic rays in CAT(0) cube complexes using sequences of well-separated hyperplanes.

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