Optimal Curvature Decays on Asymptotically Locally Euclidean Manifolds

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.

28 pages

References in corpus (1)

• Volume growth, curvature decay, and critical metrics

Cited by in corpus (4)

• Asymptotics of the self-dual deformation complex
• On Kähler conformal compactifications of $U(n)$-invariant ALE spaces
• Obstruction-flat asymptotically locally Euclidean metrics
• Asymptotic Behaviors of Non-variational Elliptic Systems