Open Access
September 2011 Moduli spaces of nonnegative sectional curvature and non-unique souls
Igor Belegradek, Slawomir Kwasik, Reinhard Schultz
J. Differential Geom. 89(1): 49-85 (September 2011). DOI: 10.4310/jdg/1324476751

Abstract

We apply various topological methods to distinguish connected components of moduli spaces of complete Riemannian metrics of nonnegative sectional curvature on open manifolds. The new geometric ingredient is that souls of nearby nonnegatively curved metrics are ambiently isotopic.

Citation

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Igor Belegradek. Slawomir Kwasik. Reinhard Schultz. "Moduli spaces of nonnegative sectional curvature and non-unique souls." J. Differential Geom. 89 (1) 49 - 85, September 2011. https://doi.org/10.4310/jdg/1324476751

Information

Published: September 2011
First available in Project Euclid: 21 December 2011

zbMATH: 1242.53035
MathSciNet: MR2863912
Digital Object Identifier: 10.4310/jdg/1324476751

Rights: Copyright © 2011 Lehigh University

Vol.89 • No. 1 • September 2011
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