Quasi-positive curvature on homogeneous bundles

Kristopher Tapp

Quasi-positive curvature on homogeneous bundles

Differential Geometry 2007-05-23 v1

Authors: Kristopher Tapp

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.

Keywords

quasi-positive curvature homogeneous bundles riemannian metric sectional curvature unit tangent bundles lens space bundles homogeneous spaces

Cite

@article{arxiv.math/0304114,
  title  = {Quasi-positive curvature on homogeneous bundles},
  author = {Kristopher Tapp},
  journal= {arXiv preprint arXiv:math/0304114},
  year   = {2007}
}

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