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Classification of manifolds with weakly 1/4-pinched curvatures

Simon Brendle Department of Mathematics, Stanford University Richard M. Schoen Department of Mathematics, Stanford University

TBD mathscidoc:1701.331989

Acta Mathematica, 200, (1), 1-13, 2007.6
We show that a compact Riemannian manifold with weakly pointwise 1/4-pinched sectional curvatures is either locally symmetric or diffeomorphic to a space form. More generally, we classify all compact, locally irreducible Riemannian manifolds$M$with the property that$M$×$R$^{2}has non-negative isotropic curvature.
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@inproceedings{simon2007classification,
  title={Classification of manifolds with weakly 1/4-pinched curvatures},
  author={Simon Brendle, and Richard M. Schoen},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203351354809698},
  booktitle={Acta Mathematica},
  volume={200},
  number={1},
  pages={1-13},
  year={2007},
}
Simon Brendle, and Richard M. Schoen. Classification of manifolds with weakly 1/4-pinched curvatures. 2007. Vol. 200. In Acta Mathematica. pp.1-13. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203351354809698.
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