完备射影联络
微分几何
2007-05-23 v5
摘要
本文揭示了首批完备射影联络的例子：曲面上测地线全部为闭嵌入曲线的正规射影联络是完备的，由具有缓慢衰减正 Ricci 曲率的完备仿射联络诱导出的正规射影联络亦是如此。
引用
@article{arxiv.math/0504082,
title = {Complete projective connections},
author = {Benjamin McKay},
journal= {arXiv preprint arXiv:math/0504082},
year = {2007}
}
备注
29 pages, no figures, v.2 minor changes, added reference to Kuiper, v.3 minor corrections, v.4 added reference to Tanaka and SL(2) example, v. 5 reference to Gorinov