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Topology of non-negatively curved manifolds

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Abstract

We study the topology of various sphere bundles over \(\hbox {CP}^{2}\) which admit a metric with non-negative sectional curvature. We then compare their diffeomorphism types with known examples of positively curved manifolds, in particular Eschenburg spaces.

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Authors and Affiliations

  1. Oregon State University, Corvallis, OR, 97331, USA

    Christine Escher

  2. University of Pennsylvania, Philadelphia, PA, 19104, USA

    Wolfgang Ziller

Authors
  1. Christine Escher
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  2. Wolfgang Ziller
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Correspondence to Wolfgang Ziller.

Additional information

C. Escher was supported by a grant from the Association for Women in Mathematics, by the University of Pennsylvania and by IMPA. W. Ziller was supported by a grant from the National Science Foundation, the Max Planck Institute in Bonn and CAPES.

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Escher, C., Ziller, W. Topology of non-negatively curved manifolds. Ann Glob Anal Geom 46, 23–55 (2014). https://doi.org/10.1007/s10455-013-9407-8

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  • DOI: https://doi.org/10.1007/s10455-013-9407-8

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