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Sasakian Geometry and Einstein Metrics on Spheres

微分几何 2008-01-17 v1 代数几何

摘要

This paper is based on a talk presented by the first author at the Short Program on Riemannian Geometry that took place at the Centre de Recherche Math\'ematiques, Universit\'e de Montr\'eal, during the period June 28-July 16, 2004. It is a report on our joint work with J\'anos Koll\'ar concerning the existence of an abundance of Einstein metrics on odd dimensional spheres, including exotic spheres.

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引用

@article{arxiv.math/0505221,
  title  = {Sasakian Geometry and Einstein Metrics on Spheres},
  author = {Charles P. Boyer and Krzysztof Galicki},
  journal= {arXiv preprint arXiv:math/0505221},
  year   = {2008}
}

备注

14 pages, Expository paper to appear in the Proceedings of the Short Program on Riemannian Geometry