Mathematics – Differential Geometry
Scientific paper
2008-10-24
Geometry & Topology 15 (2011) 217-260
Mathematics
Differential Geometry
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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