Gravitational instantons with faster than quadratic curvature decay (II)
Differential Geometry
2020-03-31 v2 Mathematical Physics
math.MP
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-D_k gravitational instanton must be the Cherkis-Hitchin-Ivanov-Kapustin-Lindstr\"om-Ro\v{c}ek metric.
Cite
@article{arxiv.1508.07908,
title = {Gravitational instantons with faster than quadratic curvature decay (II)},
author = {Gao Chen and Xiuxiong Chen},
journal= {arXiv preprint arXiv:1508.07908},
year = {2020}
}
Comments
We add a corollary and the applications, correct the asymptotic rate of the multi-Taub-NUT metric