Quasi-positive curvature on homogeneous bundles

Kristopher Tapp

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arXiv · math/0304114

Quasi-positive curvature on homogeneous bundles

Kristopher Tapp

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Abstract

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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BibTeX RIS

Kristopher Tapp. 2003-04-08. Quasi-positive curvature on homogeneous bundles. https://arxiv.org/abs/math/0304114

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