A Conformally Invariant Classification Theorem in Four Dimensions
Differential Geometry
2012-10-17 v3
Abstract
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 \cite{CGY}. Moreover, it provides a four-dimensional analogue of the well-known classification theorem of Schoen-Yau \cite{SY2} on 3-manifolds with positive Yamabe invariants.
Cite
@article{arxiv.1206.5051,
title = {A Conformally Invariant Classification Theorem in Four Dimensions},
author = {Bing-Long Chen and Xi-Ping Zhu},
journal= {arXiv preprint arXiv:1206.5051},
year = {2012}
}
Comments
18 pages. we supplement the reducible case b) in rigidity theorem 1.6 and add more references in the new version