Closed n-manifolds with diam² sec ≥ -κ and diam² Ric ≥ -δ (δ small depending on n,κ) fiber over a b1(M)-torus, removing the upper sectional curvature bound from Yamaguchi's prior result.
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Fibrations, the First Betti Number, and Almost Nonnegative Ricci Curvature
Closed n-manifolds with diam² sec ≥ -κ and diam² Ric ≥ -δ (δ small depending on n,κ) fiber over a b1(M)-torus, removing the upper sectional curvature bound from Yamaguchi's prior result.