Communications in Analysis and Geometry
Volume 22 (2014)
A conformally invariant classification theorem in four dimensions
Pages: 811 – 831
In this paper, we prove a classification theorem of 4-manifolds according to some conformal invariants, which generalizes the conformally invariant sphere theorem of Chang-Gursky-Yang. Moreover, it provides a four-dimensional analog of the well-known classification theorem of Schoen-Yau on 3-manifolds with positive Yamabe invariants.