
arXiv: 2110.07551
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.
final version
Mathematics - Differential Geometry, Differential Geometry (math.DG), Ricci flows, Ricci flow, FOS: Mathematics, scalar curvature, Heat and other parabolic equation methods for PDEs on manifolds, Global Riemannian geometry, including pinching
Mathematics - Differential Geometry, Differential Geometry (math.DG), Ricci flows, Ricci flow, FOS: Mathematics, scalar curvature, Heat and other parabolic equation methods for PDEs on manifolds, Global Riemannian geometry, including pinching
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