Stability, Finiteness and Dimension Four
Abstract
We prove that for any k∈ R, v>0, and D>0 there are only finitely many diffeomorphism types of closed Riemannian 4-manifolds with sectional curvature ≥ k, volume ≥ v, and diameter ≤ D.
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We prove that for any k∈ R, v>0, and D>0 there are only finitely many diffeomorphism types of closed Riemannian 4-manifolds with sectional curvature ≥ k, volume ≥ v, and diameter ≤ D.