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Einstein metrics on tangent bundles of spheres

Differential Geometry 2009-11-07 v1 High Energy Physics - Theory

Abstract

We give an elementary treatment of the existence of complete Kahler-Einstein metrics with nonpositive Einstein constant and underlying manifold diffeomorphic to the tangent bundle of the (n+1)-sphere.

Keywords

Cite

@article{arxiv.math/0202297,
  title  = {Einstein metrics on tangent bundles of spheres},
  author = {Andrew S. Dancer and Ian A. B. Strachan},
  journal= {arXiv preprint arXiv:math/0202297},
  year   = {2009}
}

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9 pages