A fully nonlinear conformal flow on locally conformally flat manifolds

Abstract

We study a fully nonlinear flow for conformal metrics. The long-time existence and the sequential convergence of flow are established for locally conformally flat manifolds. As an application, we solve the $\sk$-Yamabe problem for locally conformal flat manifolds when $k\ne n/2$.

16 pages

References in corpus (1)

• Estimates and Existence Results for some Fully Nonlinear Elliptic Equations on Riemannian Manifolds