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- W4312091569 abstract "We investigate how the positive scalar curvature controls the size of a Ricci limit space when it comes from a sequence of $n$-manifolds with non-negative Ricci curvature and strictly positive scalar curvature lower bound. We prove such a limit space can split off $mathbb{R}^{n-2}$ at most, and when the maximal splitting happens, the other non-splitting factor has an explicit uniform diameter upper bound. Besides, we study some other consequences of having positive scalar curvature for manifolds using Ricci limit spaces techniques, for instance volume gap estimates and volume growth order estimates." @default.
- W4312091569 created "2023-01-04" @default.
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- W4312091569 date "2022-12-20" @default.
- W4312091569 modified "2023-09-25" @default.
- W4312091569 title "Positive Scalar Curvature Meets Ricci Limit Spaces" @default.
- W4312091569 doi "https://doi.org/10.48550/arxiv.2212.10416" @default.
- W4312091569 hasPublicationYear "2022" @default.
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