Compactness of conformally compact Einstein manifolds in dimension 4

Abstract

In this paper, we establish some compactness results of conformally compact Einstein metrics on $4$-dimensional manifolds. Our results were proved under assumptions on the behavior of some local and non-local conformal invariants, on the compactness of the boundary metrics at the conformal infinity, and on the topology of the manifolds.

to appear in Advances in Mathematics

Cited by in corpus (1)

• Conformal Geometry on Four Manifolds