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Nonlinear Analysis

A non-compactness result for \(\sigma_2\)-Yamabe problem

Han Lu, University of Notre Dame

Location:  Hill Center Room 705
Date & time: Tuesday, 28 March 2023 at 1:40PM - 2:40PM

Abstract: Let (M,g) be a compact Riemannian manifold of dimension \(n\geq 3\). The \(\sigma_k\)-Yamabe problem is concerned with finding metric of constant \(\sigma_k\)-curvature in the conformal class of g. The compactness of the \(\sigma_k\)-Yamabe problem is still widely open when \(n/2> k\geq 2\). We will present a non-compactness result for the \(\sigma_2\)-Yamabe problem when n is large. This is a joint work with Bin Deng and Juncheng Wei.

Seminar website:  Nonlinear Analysis Seminar (

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