Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8904641 | Advances in Mathematics | 2018 | 21 Pages |
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.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Xiaodong Cao, Hung Tran,