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arXiv · 1206.5051

A Conformally Invariant Classification Theorem in Four Dimensions

Bing-Long Chen·Xi-Ping Zhu
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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.

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Bing-Long Chen, Xi-Ping Zhu. 2012-10-16. A Conformally Invariant Classification Theorem in Four Dimensions. https://arxiv.org/abs/1206.5051

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