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Revisiting homogeneous spaces with positive curvature

Differential Geometry 2015-03-24 v1

Abstract

As was recently observed by M. Xu and J. Wolf, there is a gap in Berard Bergery's classification of odd dimensional positively curved homogeneous spaces. Since this classification has been used in other papers as well, we give a modern, complete and self contained proof (in odd as well as even dimensions), confirming that there are indeed no new examples.

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Cite

@article{arxiv.1503.06256,
  title  = {Revisiting homogeneous spaces with positive curvature},
  author = {Burkhard Wilking and Wolfgang Ziller},
  journal= {arXiv preprint arXiv:1503.06256},
  year   = {2015}
}

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13 pages