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 (https://sites.math.rutgers.edu/~yyli/NonlinearAnalysisSeminar.html)