Optimal Curvature Decays on Asymptotically Locally Euclidean Manifolds

Details Optimal Curvature Decays on Asymptotically Locally Euclidean Manifolds Optimal Curvature Decays on Asymptotically Locally Euclidean Manifolds

2009-11-30

arxiv.org/abs/0911.5538v1

Mathematics

Differential Geometry

28 pages

Scientific paper

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.

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