Columbia Mathematics Department Colloquium


"The higher order Yamabe problem"


Neil Trudinger

Australian National University


The higher order Yamabe problem is to find a conformal metric on an n-dimensional

compact Riemannian manifold with constant k - curvature, k = 2,3...n.

Here the k-curvature is defined as the k-th elementary symmetric function of the

eigenvalues of the Schouten tensor, with respect to the metric. We present recent work,

in collaboration with Wei-min Sheng and Xu-jia Wang on the solution of this problem

and related issues such as the compactness of the solution set.



  November 19th, Wednesday, 5:00-6:00 pm

Mathematics 520

Tea will be served at 4:30pm