Revisiting homogeneous spaces with positive curvature

Burkhard Wilking; Wolfgang Ziller

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arXiv · 1503.06256

Revisiting homogeneous spaces with positive curvature

Burkhard Wilking·Wolfgang Ziller

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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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Burkhard Wilking, Wolfgang Ziller. 2015-03-21. Revisiting homogeneous spaces with positive curvature. https://arxiv.org/abs/1503.06256

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