Complete projective connections
微分几何
2007-05-23 v5
摘要
The first examples of complete projective connections are uncovered: normal projective connections on surfaces whose geodesics are all closed and embedded are complete, as are normal projective connections induced from complete affine connections with slowly decaying positive Ricci curvature.
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