Date | Feb 27, 2024 |
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Speaker | Qing Han |

Dept. | University of Notre Dame, USA |

Room | 27-325 |

Time | 16:00-18:00 |

A version of the singular Yamabe problem in bounded domains yields complete conformal metrics with negative constant scalar curvatures. In this talk, we study whether these metrics have negative Ricci curvatures. We present two classes of results. First, we prove that the Ricci curvature is indeed negative for the complete conformal metrics on convex domains. Second, we demonstrate the Ricci curvature splits in sign if a component of the boundary of the domain is close to a lower dimensional set.

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