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Einstein four-manifolds of pinched sectional curvature

Differential Geometry 2019-08-09 v2

Abstract

In this paper, we obtain classification of four-dimensional Einstein manifolds with positive Ricci curvature and pinched sectional curvature. In particular, the first result concerns with an upper bound of sectional curvature, improving a theorem of E. Costa. The second is a generalization of D. Yang's result assuming an upper bound on the difference between sectional curvatures.

Keywords

Cite

@article{arxiv.1612.06023,
  title  = {Einstein four-manifolds of pinched sectional curvature},
  author = {Xiaodong Cao and Hung Tran},
  journal= {arXiv preprint arXiv:1612.06023},
  year   = {2019}
}

Comments

18 pages, comments welcome