Abstract
This is our second paper in a series to study gravitational instantons, i.e. complete hyperkähler 4-manifolds with faster than quadratic curvature decay. We prove two main theorems: (i) The asymptotic rate of gravitational instantons to the standard models can be improved automatically. (ii) Any ALF-Dk gravitational instanton must be the Cherkis–Hitchin–Ivanov–Kapustin–Lindström–Roček metric.
| Original language | English |
|---|---|
| Pages (from-to) | 259-284 |
| Number of pages | 26 |
| Journal | Journal fur die Reine und Angewandte Mathematik |
| Volume | 2019 |
| Issue number | 756 |
| DOIs | |
| State | Published - 2019 |
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