Einstein Metrics on 5-dimensional Seifert Bundles

@inproceedings{Kollr2008EinsteinMO,
  title={Einstein Metrics on 5-dimensional Seifert Bundles},
  author={J{\'a}nos Koll{\'a}r},
  year={2008}
}
The aim of this paper is to study the existence of positive Ricci curvature metrics, and especially Einstein metrics, on 5-dimensional Seifert bundles. Seifert fibered 3–manifolds were introduced and studied in [Sei32]. These are 3–manifolds M which admit a differentiable map f : M → F to a surface F such that every fiber is a circle. There are finitely many points p 1 ,. .. , p n ∈ F such that M is a circle bundle over F \ {p 1 ,. .. , p n }, and the fibers over p i naturally appear with some… CONTINUE READING

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