Einstein Metrics on Complex Surfaces
dg-ga
2008-02-03 v1 微分几何
摘要
We consider compact complex surfaces with Hermitian metrics which are Einstein but not Kaehler. It is shown that the manifold must be CP2 blown up at 1,2, or 3 points, and the isometry group of the metric must contain a 2-torus. Thus the Page metric on CP2#(-CP2) is almost the only metric of this type.
引用
@article{arxiv.dg-ga/9506012,
title = {Einstein Metrics on Complex Surfaces},
author = {Claude LeBrun},
journal= {arXiv preprint arXiv:dg-ga/9506012},
year = {2008}
}
备注
latex, 2 figures