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20002009
most citedOn the Asymptotics for the Vacuum Einstein Constraint Equations

23 citations · 60 across the 6 of their papers we have counts for

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Showing 2007Show all

2 papers · 1 filter

math.DG2007★ 1 cited

Classification of manifolds with weakly 1/4-pinched curvatures

S. Brendle, R. M. Schoen

We show that a compact Riemannian manifold with weakly 1/4-pinched sectional curvatures is either locally symmetric or diffeomorphic to a space form.

math.DG2007★ 5 cited

Manifolds with 1/4-pinched Curvature are Space Forms

S. Brendle, R. M. Schoen

Let (M,g_0) be a compact Riemannian manifold with pointwise 1/4-pinched sectional curvatures. We show that the Ricci flow deforms g_0 to a constant curvature metric. The proof uses…