Local Ricci curvature and ν-entropy gap theorems for Ricci shrinkers depend only on dimension, generalizing prior global results and giving a local removable singularity criterion for Ricci flow.
Lower Bounds on Ricci Curvature and the Almost Rigidity of Warped Products Annals of Mathematics, 144.1(1996),189-237
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Rigidity and gap theorems for Ricci shrinkers
Local Ricci curvature and ν-entropy gap theorems for Ricci shrinkers depend only on dimension, generalizing prior global results and giving a local removable singularity criterion for Ricci flow.