On scalar curvature lower bounds and scalar curvature measure

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.

Automated summary

We investigate the connection between the (non)existence of lower scalar curvature bounds and the existence of certain distance-decreasing maps. We also provide a sufficient condition for the existence of a limiting scalar curvature measure in the backward limit of a Ricci flow solution.