Non-negative versus positive scalar curvature
Differential Geometry
2021-01-12 v5
Abstract
We show that results about spaces or moduli spaces of positive scalar curvature metrics proved using index theory can typically be extended to non-negative scalar curvature metrics. We illustrate this by providing explicit generalizations of some classical results concerning moduli spaces of positive scalar curvature metrics.
Cite
@article{arxiv.1607.00657,
title = {Non-negative versus positive scalar curvature},
author = {Thomas Schick and David J. Wraith},
journal= {arXiv preprint arXiv:1607.00657},
year = {2021}
}
Comments
A problem in the proof of Proposition 3.5 has been fixed, requiring a re-formulation of Proposition 3.6. Some general revision has also been carried out