The Yamabe problem for higher order curvatures

Details The Yamabe problem for higher order curvatures The Yamabe problem for higher order curvatures

2005-05-23

arxiv.org/abs/math/0505463v1

Mathematics

Differential Geometry

Scientific paper

Let M be a compact Riemannian manifold of dimension n. The k-curvature, for k=1,2,..n, is defined as the k-th elementary symmetric polynomial of the eigenvalues of the Schouten tenser. The k-Yamabe problem is to prove the existence of a conformal metric whose k-curvature is a constant. When k=1, it reduces to the well-known Yamabe problem. Under the assumption that the metric is admissible, the existence of solutions to the k-Yamabe problem was recently proved by Gursky and Viaclovsky for k>n/2. In this paper we prove the existence of solutions for the remaining cases k

Affiliated with

Also associated with

No associations

Rating

The Yamabe problem for higher order curvatures does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Yamabe problem for higher order curvatures, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Yamabe problem for higher order curvatures will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-560004