Calendar

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)