A conformally invariant sphere theorem in four dimensions

Details A conformally invariant sphere theorem in four dimensions A conformally invariant sphere theorem in four dimensions

2003-09-17

arxiv.org/abs/math/0309287v1

Mathematics

Differential Geometry

39 pages, 0 figures

Scientific paper

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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