Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590227 | Journal of Functional Analysis | 2014 | 31 Pages |
Abstract
We prove compactness of solutions of a fully nonlinear Yamabe problem satisfying a lower Ricci curvature bound, when the manifold is not conformally diffeomorphic to the standard sphere. This allows us to prove the existence of solutions when the associated cone Î satisfies μÎ+⩽1, which includes the Ïk-Yamabe problem for k not smaller than half of the dimension of the manifold.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
YanYan Li, Luc Nguyen,