Karlsruher Institut für Technologie (KIT), Fakultät für Mathematik, Institut für Algebra und Geometrie, Arbeitsgruppe Differentialgeometrie, Englerstrase 2, D-76131 Karlsruhe, Germany
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.
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Walsh M. Cobordism invariance of the homotopy type of the space of positive scalar curvature metrics. Proc Amer Math Soc, 2013, 141(7): 2475–2484
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