Quasi-positive curvature on homogeneous bundles

Details Quasi-positive curvature on homogeneous bundles Quasi-positive curvature on homogeneous bundles

2003-04-08

arxiv.org/abs/math/0304114v1

Mathematics

Differential Geometry

Scientific paper

We provide new examples of manifolds which admit a Riemannian metric with sectional curvature nonnegative, and strictly positive at one point. Our examples include the unit tangent bundles of $CP^n$, $HP^n$ and $CaP^2$, and a family of lens space bundles over $CP^n$. All new examples are consequences of a general sufficient condition for a homogeneous fiber bundle over a homogeneous space to admit such a metric.

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