A complete Riemannian 3-manifold with bounded sectional curvature, pointwise c-pinched nonnegative Ricci curvature, and sectional curvature bounded below by -A/d(m,m0)^2 is flat or compact.
On the characteristic numbers of c omplete manifolds of bounded curva- ture and finite volume
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On 3-manifolds with pointwise pinched nonnegative Ricci curvature
A complete Riemannian 3-manifold with bounded sectional curvature, pointwise c-pinched nonnegative Ricci curvature, and sectional curvature bounded below by -A/d(m,m0)^2 is flat or compact.