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Spaces and moduli spaces of Riemannian metrics

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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.

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Authors and Affiliations

  1. Karlsruher Institut für Technologie (KIT), Fakultät für Mathematik, Institut für Algebra und Geometrie, Arbeitsgruppe Differentialgeometrie, Englerstraße 2, D-76131, Karlsruhe, Germany

    Wilderich Tuschmann

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  1. Wilderich Tuschmann
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Correspondence to Wilderich Tuschmann.

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Tuschmann, W. Spaces and moduli spaces of Riemannian metrics. Front. Math. China 11, 1335–1343 (2016). https://doi.org/10.1007/s11464-016-0576-1

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  • DOI: https://doi.org/10.1007/s11464-016-0576-1

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