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Nonlinear Analysis

On conformal geometry of conic 4-manifolds

Hao Fang, University of Iowa

Location:  Hill 705
Date & time: Wednesday, 07 November 2018 at 1:40PM - 3:00PM

Abstract:  In this talk, we define conic 4-manifolds generalizing a similar construction on surfaces by Troyanov. We then discuss some geometric PDEs on conic 4-manifolds that arises from conformal geometry.  We will present a joint work with Biao Ma on a sufficient condition for the existence of constant Q-curvature metrics for conic 4-manifolds and discuss the related Adams inequality. We will also present a joint work with Wei Wei on a necessary condition for the existence of constant sigma2 curvature metrics for conic 4-spheres.

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