Gravitational instantons with faster than quadratic curvature decay (II)
Abstract
This is our second paper in a series to study gravitational instantons, i.e. complete hyperk\"aler 4-manifolds with faster than quadratic curvature decay. We prove two main theorems: 1.The asymptotic rate of gravitational instantons to the standard models can be improved automatically. 2.Any ALF-Dk gravitational instanton must be the Cherkis-Hitchin-Ivanov-Kapustin-Lindstr\"om-Rocek metric.
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