Einstein four-manifolds of pinched sectional curvature

Xiaodong Cao, Hung Tran

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


In this paper, we obtain classification of four-dimensional Einstein manifolds with positive Ricci curvature and pinched sectional curvature. In particular, the first result deals with an upper bound on the 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.

Original languageEnglish
Pages (from-to)322-342
Number of pages21
JournalAdvances in Mathematics
StatePublished - Sep 7 2018


  • Einstein
  • Four-manifolds
  • Pinched sectional curvature


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