Rate of asymptotic convergence near isolated singularity of G$_2$ manifold
In this paper, a metric with G$_2$ holonomy and slow rate of convergence to the cone metric is constructed on a ball inside the cone over the flag manifold.
math.DG↗
arXiv subjects
Gao Chen
Publications and source records attributed to Gao Chen.
Gravitational instantons with faster than quadratic curvature decay (III)
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.
math.DG↗
Gravitational instantons with faster than quadratic curvature decay (II)
This is our second paper in a series to study gravitational instantons, i.e. complete hyperkäler 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-Lindström-Roček metric.
math.DG↗