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Non-negatively Curved 6-Manifolds with Almost Maximal Symmetry Rank

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Abstract

We classify closed, simply connected, non-negatively curved 6-manifolds of almost maximal symmetry rank up to equivariant diffeomorphism.

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Acknowledgements

Christine Escher and Catherine Searle would like to thank Michael Wiemeler and a referee for pointing out an omission in a previous version of the paper. We are also indebted to the same referee for many helpful comments and suggestions. This material is based in part upon work supported by the National Science Foundation under Grant No. DMS-1440140 while both authors were in residence at the Mathematical Sciences Research Institute in Berkeley, California, during the Spring 2016 semester. Catherine Searle would also like to acknowledge support by Grants from the National Science Foundation (#DMS-1611780), as well as from the Simons Foundation (#355508, C. Searle).

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Authors and Affiliations

  1. Department of Mathematics, Oregon State University, Corvallis, OR, USA

    Christine Escher

  2. Department of Mathematics, Statistics, and Physics, Wichita State University, Wichita, KS, USA

    Catherine Searle

Authors
  1. Christine Escher
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  2. Catherine Searle
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Correspondence to Catherine Searle.

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Escher, C., Searle, C. Non-negatively Curved 6-Manifolds with Almost Maximal Symmetry Rank. J Geom Anal 29, 1002–1017 (2019). https://doi.org/10.1007/s12220-018-0026-2

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