具有平坦 horosphere 的闭负曲率黎曼流形是双曲的
微分几何
2017-02-06 v2
摘要
我们证明，对于一个维数的闭、严格 1/4 夹挤、负曲率黎曼流形，若其万有覆盖中存在一个平坦 horosphere，则该流形与实双曲流形相似。
引用
@article{arxiv.1701.06883,
title = {Closed, negatively curved Riemannian manifolds with a flat horosphere are hyperbolic},
author = {Gérard Besson and Gilles Courtois and Sa'ar Hersonsky},
journal= {arXiv preprint arXiv:1701.06883},
year = {2017}
}
备注
The authors withdraw this paper because of an error in lemma 3.10