Gravitational instantons with faster than quadratic curvature decay (III)
Differential Geometry
2021-07-21 v3 Mathematical Physics
math.MP
Abstract
This is our third paper in a series on the gravitational instantons. In this paper, we classify ALG and ALH gravitational instantons. In ALG case, we extend Hein's construction slightly and show that it's the only ALG gravitational instanton. In ALH case, we prove a Torelli-type theorem.
Keywords
Cite
@article{arxiv.1603.08465,
title = {Gravitational instantons with faster than quadratic curvature decay (III)},
author = {Gao Chen and Xiuxiong Chen},
journal= {arXiv preprint arXiv:1603.08465},
year = {2021}
}
Comments
In the ALG-II^*,III^*,IV^* cases, we add the classification result and a counterexample of the Torelli theorem