Bach-flat asymptotically locally Euclidean metrics
微分几何
2009-11-10 v3 偏微分方程分析
摘要
We obtain a volume growth and curvature decay result for various classes of complete, noncompact Riemannian metrics in dimension 4; in particular our method applies to anti-self-dual or Kahler metrics with zero scalar curvature, and metrics with harmonic curvature. Similar results are known for Einstein metrics, but our analysis differs from the Einstein case in that (1) we consider more generally a fourth order system in the metric, and (2) we do not assume any pointwise Ricci curvature bound.
引用
@article{arxiv.math/0310302,
title = {Bach-flat asymptotically locally Euclidean metrics},
author = {Gang Tian and Jeff Viaclovsky},
journal= {arXiv preprint arXiv:math/0310302},
year = {2009}
}
备注
54 pages; final version