具有正 Ricci 曲率和多个孤立奇异轨道的 G-流形
微分几何
2013-08-22 v2
摘要
我们证明了在余维数 (cohomogeneity) 为 3 的情况下，存在具有任意给定数量孤立奇异轨道且拥有正 Ricci 曲率不变度量的-流形。我们还证明了，只要奇异轨道的数量为偶数，相应的结果在余维数为 5 时也成立。
引用
@article{arxiv.1211.3670,
title = {G-manifolds with positive Ricci curvature and many isolated singular orbits},
author = {David J. Wraith},
journal= {arXiv preprint arXiv:1211.3670},
year = {2013}
}
备注
19 pages. This paper has been substantially re-written to improve the exposition, to present the technical details in greater generality, and to correct a mistake in the second section of the original version. The main results are unchanged