Some new examples with almost positive curvature

Abstract

As a means to better understanding manifolds with positive curvature, there has been much recent interest in the study of non-negatively curved manifolds which contain points at which all 2-planes have positive curvature. We show that there are generalisations of the well-known Eschenburg spaces and quotients of $\sph^7 \x \sph^7$ which admit metrics with this property.

43 pages, updated title and abstract, main result and exposition improved

References in corpus (2)

• Examples of Riemannian manifolds with positive curvature almost everywhere
• On the curvature of biquotients

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• Orbifold Biquotients of SU(3)
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• The classification of $SU(2{)}^2$ biquotients of rank $3$ Lie groups