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 language | English |
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Pages (from-to) | 322-342 |
Number of pages | 21 |
Journal | Advances in Mathematics |
Volume | 335 |
DOIs | |
State | Published - Sep 7 2018 |
Keywords
- Einstein
- Four-manifolds
- Pinched sectional curvature