A conformally invariant sphere theorem in four dimensions
微分几何
2007-05-23 v1
摘要
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.
引用
@article{arxiv.math/0309287,
title = {A conformally invariant sphere theorem in four dimensions},
author = {S. Y. A Chang and Matthew J. Gursky and Paul Yang},
journal= {arXiv preprint arXiv:math/0309287},
year = {2007}
}
备注
39 pages, 0 figures