通过超线性发散与次线性收缩刻画 Morse 拟测地线
度量几何
2017-06-09 v2 群论
摘要
我们引入并开始对次线性收缩投影的系统研究。我们在任意测地度量空间中给出了 Morse 拟测地线的两种刻画。一种是它们是次线性收缩的；另一种是它们具有完全超线性发散。我们通过测地线段的投影进一步刻画了次线性收缩投影。
关键词
引用
@article{arxiv.1601.01897,
title = {Characterizations of Morse quasi-geodesics via superlinear divergence and sublinear contraction},
author = {Goulnara N. Arzhantseva and Christopher H. Cashen and Dominik Gruber and David Hume},
journal= {arXiv preprint arXiv:1601.01897},
year = {2017}
}
备注
24 pages, 5 figures. v2: 22 pages, 5 figures. Correction in proof of Thm 7.1. Proof of Prop 4.2 revised for improved clarity. Other minor changes per referee comments. To appear in Documenta Mathematica