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NTU Mathematics Colloquium 1060220

Colloquium
張貼人:Assist5 (RSS-Web)公告日期:2017-02-13

NTU Mathematics Colloquium


演講者:Yueh-Ju Lin (Department of Mathematics, University of Michigan)

講  題:Q-curvature and conformal invariants

時  間:2017年2月20日 (星期一) 10:00 - 11:00 a.m.

地  點:臺灣大學天數館440室

摘  要:For a closed Riemannian manifold of dimension at least three, positive Yamabe invariant implies the existence of a conformal metric with positive scalar curvature. As a higher order analogue of this result, we seek for similar characterizations for the Paneitz operator and Q-curvature in higher dimensions. For a smooth closed Riemannian manifold of dimension at least six, we prove that the existence of a conformal metric with positive scalar and Q-curvature is equivalent to the positivity of both the Yamabe invariant and the Paneitz operator.
    There are no general existence results for prescribed negative Q-curvature problems. In the second part of my talk, I will show how to use gluing method to construct nontrivial examples of negative constant Q-curvature metrics.
    Part of my talk is joint work with Matt Gursky and Fengbo Hang.

茶  會:14:30-15:00

最後修改時間:2017-02-14 AM 10:30

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