Non-negative versus positive scalar curvature

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.

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

References in corpus (4)

• Infinite loop spaces and positive scalar curvature
• Infinite loop spaces and positive scalar curvature in the presence of a fundamental group
• Harmonic spinors and metrics of positive curvature via the Gromoll filtration and Toda brackets
• Nonconnected Moduli Spaces of Nonnegative Sectional Curvature Metrics on Simply Connected Manifolds

Cited by in corpus (3)

• On the topology of moduli spaces of non-negatively curved Riemannian metrics
• Construction of initial data sets for Lorentzian manifolds with lightlike parallel spinors
• Scalar curvature rigidity and the higher mapping degree