A conformally invariant sphere theorem in four dimensions

Matthew J. Gursky; Paul Yang; S.Y.A Chang

arxiv: math/0309287 · v1 · submitted 2003-09-17 · 🧮 math.DG

A conformally invariant sphere theorem in four dimensions

S.Y.A Chang , Matthew J. Gursky , Paul Yang This is my paper

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keywords invariantconformallyspheretheoremassumptionscharacterizationdimensionsfour

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In this paper we provide a sharp characterization of the smooth four-dimensional sphere. The assumptions of the theorem are conformally invariant, and can be reduced to an L^2 inequality of the Weyl tensor and positivity of the Yamabe invariant.

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A conformally invariant sphere theorem in four dimensions

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