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.
Wang,The local entropy along Ricci flow—Part B: the pseudo-locality theorems, arXiv:2010.09981
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Proves compactness and convergence theorems for complete gradient G2-solitons under scalar curvature lower bounds and potential growth conditions.
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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.
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On the structure of complete $G_2$-solitons
Proves compactness and convergence theorems for complete gradient G2-solitons under scalar curvature lower bounds and potential growth conditions.