A fully nonlinear conformal flow on locally conformally flat manifolds

Pengfei Guan, and Guofang Wang
(Please use for correspondence this email).

Submission date: 30. Jan. 2002
Pages: 19
published in: Journal für die reine und angewandte Mathematik, 557 (2003), p. 219-238 
MSC-Numbers: 53C21, 35J60, 58J60
Download preprint: PDF (252 kB), PS ziped (239 kB)

Abstract:
We study a fully nonlinear flow for conformal metrics. The long-time existence and the sequential convergence of flow will be established for locally conformally flat manifolds. As an application, we solve the -Yamabe problem for locally conformal flat manifolds when .