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Metrics of Positive Scalar Curvature on Spherical Space Forms

Published online by Cambridge University Press:  20 November 2018

Boris Botvinnik  and
Peter B. Gilkey
Boris Botvinnik
Affiliation:
Mathematics Department University of Oregon Eugene, Oregon 97403 U.S.A., e-mail: gilkey@math.uoregon.edu
Peter B. Gilkey
Affiliation:
Mathematics Department University of Oregon Eugene, Oregon 97403 U.S.A., e-mail: botvinnik@math.uoregon.edu
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Abstract

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We use the eta invariant to show every non-simply connected spherical space form of dimension m ≥ 5 has a countable family of non bordant metrics of positive scalar curvature.

Keywords

58G1258G2553A5053C2555N22
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 48 , Issue 1 , 01 February 1996 , pp. 64 - 80
Copyright
Copyright © Canadian Mathematical Society 1997

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