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Moduli Spaces of Metrics of Positive Scalar Curvature on Topological Spherical Space Forms

Part of: Global differential geometry

Published online by Cambridge University Press:  24 February 2020

Philipp Reiser
Philipp Reiser*
Affiliation:
Institut für Mathematik, Karlsruher Institut für Technologie (KIT)Germany Email: philipp.reiser@kit.edu
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Abstract

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Let $M$ be a topological spherical space form, i.e., a smooth manifold whose universal cover is a homotopy sphere. We determine the number of path components of the space and moduli space of Riemannian metrics with positive scalar curvature on $M$ if the dimension of $M$ is at least 5 and $M$ is not simply-connected.

Keywords

moduli spacetopological spherical space formpositive scalar curvature

MSC classification

Primary: 53C20: Global Riemannian geometry, including pinching
Type
Article
Information
Canadian Mathematical Bulletin , Volume 63 , Issue 4 , December 2020 , pp. 901 - 908
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Creative Commons
Creative Common License - CCCreative Common License - BY
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
Copyright
© Canadian Mathematical Society 2020

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