Some new examples with almost positive curvature

Mathematics – Differential Geometry

Scientific paper

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

Scientific paper

10.2140/gt.2011.15.217

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.

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