English

On scalar curvature lower bounds and scalar curvature measure

Differential Geometry 2022-12-02 v4

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.

Keywords

Cite

@article{arxiv.2110.07551,
  title  = {On scalar curvature lower bounds and scalar curvature measure},
  author = {John Lott},
  journal= {arXiv preprint arXiv:2110.07551},
  year   = {2022}
}

Comments

Addendum about (3.19) put at end