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Positively curved homogeneous metrics on spheres

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Abstract

We classify all homogeneous metrics on spheres with positive sectional curvature.

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Authors and Affiliations

  1. Universitá di Firenze, Via S. Marta 3, 50139, Firenze, Italy

    Luigi Verdiani

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

    Wolfgang Ziller

Authors
  1. Luigi Verdiani
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  2. Wolfgang Ziller
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Corresponding author

Correspondence to Wolfgang Ziller.

Additional information

This work was completed while W. Ziller was visiting IMPA and he would like to thank the Institute for its hospitality.

L. Verdiani was supported by GNSAGA. W. Ziller was supported in part by the Francis J. Carey Term Chair, the Clay Institute and a grant from the National Science Foundation.

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Verdiani, L., Ziller, W. Positively curved homogeneous metrics on spheres. Math. Z. 261, 473–488 (2009). https://doi.org/10.1007/s00209-008-0332-7

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  • DOI: https://doi.org/10.1007/s00209-008-0332-7

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