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Optimal Curvature Decays on Asymptotically Locally Euclidean Manifolds

Differential Geometry 2009-12-01 v1 Analysis of PDEs

Abstract

We present a method in nonlinear elliptic systems to study curvature decays on asymptotically locally Euclidean (ALE) manifolds. In particular, we show that scalar flat Kahler and harmonic ALE metrics of real dimension n are of order n-2.

Keywords

Cite

@article{arxiv.0911.5538,
  title  = {Optimal Curvature Decays on Asymptotically Locally Euclidean Manifolds},
  author = {Szu-yu Sophie Chen},
  journal= {arXiv preprint arXiv:0911.5538},
  year   = {2009}
}

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28 pages