On a fully nonlinear Yamabe problem

Abstract

We solve the ${\sigma }_2$-Yamabe problem for a non locally conformally flat manifold of dimension $n>8$.

31 pages. Final version. To appear in Ann. Sci. École Norm. Sup

Cited by in corpus (1)

• Local pointwise second derivative estimates for strong solutions to the ${\sigma }_k$-Yamabe equation on Euclidean domains