Abstract:
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