English

Einstein manifolds with nonnegative isotropic curvature are locally symmetric

Differential Geometry 2019-12-19 v3

Abstract

Let (M,g) be an Einstein manifold of dimension n \geq 4 with nonnegative isotropic curvature. We show that (M,g) is locally symmetric.

Keywords

Cite

@article{arxiv.0812.0335,
  title  = {Einstein manifolds with nonnegative isotropic curvature are locally symmetric},
  author = {S. Brendle},
  journal= {arXiv preprint arXiv:0812.0335},
  year   = {2019}
}

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