On Expansions of Ricci Flat ALE Metrics in Harmonic Coordinates About the Infinity

Youmin Chen

doi:10.1007/s40304-019-00183-6

Communications in Mathematics and Statistics ›› 2020, Vol. 8 ›› Issue (1) : 63 -90. DOI: 10.1007/s40304-019-00183-6

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On Expansions of Ricci Flat ALE Metrics in Harmonic Coordinates About the Infinity

Youmin Chen ¹^,^a

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Abstract

In this paper, we study the expansions of Ricci flat metrics in harmonic coordinates about the infinity of ALE (Asymptotically Local Euclidean) manifolds.

Keywords

ALE / Ricci flat / Harmonic coordinates / Asymptotic expansion

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Youmin Chen. On Expansions of Ricci Flat ALE Metrics in Harmonic Coordinates About the Infinity. Communications in Mathematics and Statistics, 2020, 8(1): 63-90 DOI:10.1007/s40304-019-00183-6