4-Manifolds without Einstein Metrics
dg-ga
2008-02-03 v2 alg-geom
代数几何
微分几何
摘要
It is shown that there are infinitely many compact orientable smooth 4-manifolds which do not admit Einstein metrics, but nevertheless satisfy the strict Hitchin-Thorpe inequality 2 chi > 3 |tau|. The examples in question arise as non-minimal complex algebraic surfaces of general type, and the method of proof stems from Seiberg-Witten theory.
引用
@article{arxiv.dg-ga/9511015,
title = {4-Manifolds without Einstein Metrics},
author = {Claude LeBrun},
journal= {arXiv preprint arXiv:dg-ga/9511015},
year = {2008}
}
备注
9 pages, latex, with \Bbb font redefined for WWW use