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arxiv: 0911.5538 · v1 · submitted 2009-11-30 · 🧮 math.DG · math.AP

Optimal Curvature Decays on Asymptotically Locally Euclidean Manifolds

classification 🧮 math.DG math.AP
keywords asymptoticallycurvaturedecayseuclideanlocallymanifoldsdimensionelliptic
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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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