Einstein four-manifolds of pinched sectional curvature

Xiaodong Cao, Hung Tran

Research output: Contribution to journalArticle

3 Scopus citations

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 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
Volume335
DOIs
StatePublished - Sep 7 2018

Keywords

  • Einstein
  • Four-manifolds
  • Pinched sectional curvature

Fingerprint Dive into the research topics of 'Einstein four-manifolds of pinched sectional curvature'. Together they form a unique fingerprint.

  • Cite this