非负截面曲率模空间与非唯一灵魂
微分几何
2018-05-14 v3 代数拓扑
摘要
我们应用多种拓扑方法来区分开流形上完备非负截面曲率黎曼度量模空间的连通分支。新的几何要素在于，邻近非负曲率度量的灵魂是环境同痕的。
引用
@article{arxiv.0912.4869,
title = {Moduli spaces of nonnegative sectional curvature and non-unique souls},
author = {Igor Belegradek and Slawomir Kwasik and Reinhard Schultz},
journal= {arXiv preprint arXiv:0912.4869},
year = {2018}
}
备注
Proposition 4.4 corrected. A mistake in Proposition 2.8 is discussed after its statement