Workshop on Geometric Functionals: Analysis and Applications | |

Topic: | Existence and uniqueness of Green's function to a nonlinear Yamabe problem |

Speaker: | Yanyan Li |

Affiliation: | Rutgers University |

Date: | Wednesday, March 6 |

Time/Room: | 4:00pm - 5:00pm/Simonyi Hall 101 |

Abstract: For a given finite subset S of a compact Riemannian manifold (M; g) whose Schouten curvature tensor belongs to a given cone, we establish a necessary and

sufficient condition for the existence and uniqueness of a conformal metric on $M \setminus S$ such that each point of S corresponds to an asymptotically flat end and

that the Schouten tensor of the new conformal metric belongs to the boundary of the given cone. This is a joint work with Luc Nguyen.