Spaces and moduli spaces of Riemannian metrics

Abstract

These notes present and survey results about spaces and moduli spaces of complete Riemannian metrics with curvature bounds on open and closed manifolds, here focussing mainly on connectedness and disconnectedness properties. They also discuss several open problems and questions in the field.

Keywords

Riemannian metrics / moduli spaces / sectional curvature / positive Ricci curvature / positive scalar curvature

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