On expansions of Ricci flat ALE metrics in harmonic coordinates about the infinity
Youmin Chen
TL;DR
This paper investigates the detailed asymptotic expansions of Ricci flat ALE metrics in harmonic coordinates near infinity, enhancing understanding of their geometric structure.
Contribution
It provides new insights into the asymptotic behavior of Ricci flat ALE metrics in harmonic coordinates at infinity.
Findings
Derived explicit expansion formulas for Ricci flat ALE metrics
Improved understanding of metric decay rates at infinity
Potential applications in geometric analysis and mathematical physics
Abstract
In this paper, we study the expansions of Ricci flat metrics in harmonic coordinates about the infinity of ALE (asymptotically local Euclidean) manifolds.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Advanced Differential Geometry Research