Affiliation:
1. Institute of Geometry and Physics University of Science and Technology of China Shanghai China
2. Department of Mathematics University of California Irvine California USA
Abstract
AbstractThere are two known classes of gravitational instantons with quadratic volume growth at infinity, known as type and . Gravitational instantons of type were previously classified by Chen–Chen. In this paper, we prove a classification theorem for gravitational instantons. We determine the topology and prove existence of “uniform” coordinates at infinity for both ALG and gravitational instantons. We also prove a result regarding the relationship between ALG gravitational instantons of order and those of order 2.
Funder
National Science Foundation