Relations between metrics of almost positive curvature on the Gromoll-Meyer sphere

Dearricott, Owen

doi:10.1090/S0002-9939-2011-11056-6

Relations between metrics of almost positive curvature on the Gromoll-Meyer sphere
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Proc. Amer. Math. Soc. 140 (2012), 2169-2178 Request permission

Abstract:

We give a simplified proof that Wilhelm’s metric on the Gromoll-Meyer sphere has positive curvature almost everywhere. We determine that its zero locus coincides with that of the almost positively curved metric of Eschenburg and Kerin.

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