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arXiv · 2105.13088

Sphere Theorems with and without Smoothing

Jialong Deng
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Abstract

We show two sphere theorems for the Riemannian manifolds with scalar curvature bounded below and the non-collapsed $\mathrm{RCD}(n-1,n)$ spaces with mean distance close to $\frac{\pi}{2}$.

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Jialong Deng. 2021-05-27. Sphere Theorems with and without Smoothing. https://doi.org/10.1007/s00022-022-00647-1

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