A fully nonlinear conformal flow on locally conformally flat manifolds

2001/12/22 by Pengfei Guan, Guofang Wang, Guan, Pengfei +1
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #math.DG

paper · pdf · doi:10.48550/arxiv.math/0112256

16 pages

arxiv created 2001/12/22 · arxiv updated 2009/11/30

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 ≠ n/2.

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