Differential geometry seminar - November 18, 10am, lecture room M5 |

The seminar on differential geometry will continue with this lecture:
## Hanci Chi (McMaster University/UHK University):
Abstract: A Riemannian manifold (M, g) is Einstein if its Ricci tensor is a constant multiple of g. With its charm and influence in both mathematics and physics, the subject of Einstein metrics draws a great amount of attention from both communities. In this talk, we give an introduction to Einstein metrics of cohomogeneity one. Its construction reduces the Einstein equations to a system of ODEs. Then we introduce some new examples. They are vector bundles M whose principal orbit G/K are Wallach spaces. On each M, we found a 1-parameter continuous family of Ricci-flat metrics and a 2-parameter continuous family of negative Einstein metrics. In particular, the complete metric with G2 holonomy discovered by Robert Bryant and Simon Salamon is recovered in the construction. |

Last Updated on Thursday, 14 November 2019 10:29 |

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