Einstein four-manifolds of pinched sectional curvature

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.

18 pages, comments welcome

References in corpus (3)

• The Weyl Tensor of Gradient Ricci Solitons
• On Closed Manifolds with Harmonic Weyl Curvature
• Four-dimensional Einstein manifolds with sectional curvature bounded from above

Cited by in corpus (2)

• Four-manifolds of Pinched Sectional Curvature
• Geography of pinched four-manifolds