On scalar curvature lower bounds and scalar curvature measure

John Lott

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arXiv · 2110.07551

On scalar curvature lower bounds and scalar curvature measure

John Lott

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Abstract

We relate the (non)existence of lower scalar curvature bounds to the existence of certain distance-decreasing maps. We also give a sufficient condition for the existence of a limiting scalar curvature measure in the backward limit of a Ricci flow solution.

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John Lott. 2021-10-14. On scalar curvature lower bounds and scalar curvature measure. https://arxiv.org/abs/2110.07551

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