Demonstrates a uniform entropy bound in simply connected Ricci shrinkers, indicating broader implications for metric measure spaces with curvature constraints.
We establish a uniform entropy bound for simply connected Ricci shrinkers with a finite second homotopy group and a uniform curvature bound. Additionally, we extend the non-collapsing result to a broader class of smooth metric measure spaces satisfying Bakry–Émery conditions.
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Dong et al. (2026) studied this question.
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