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arXiv · 0910.5712

New Examples of Obstructions to Non-Negative Sectional Curvatures in Cohomogeneity One Manifolds

Chenxu He
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Abstract

K. Grove, L. Verdiani, B. Wilking and W. Ziller gave the first examples of cohomogeneity one manifolds which do not carry invariant metrics with non-negative sectional curvatures. In this paper we generalize their results to a larger family. We also classified all class one representations for a pair (G;H) with G/H some sphere, which are used to construct the examples.

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BibTeXRIS

Chenxu He. 2009-10-29. New Examples of Obstructions to Non-Negative Sectional Curvatures in Cohomogeneity One Manifolds. https://arxiv.org/abs/0910.5712

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