A fully nonlinear conformal flow on locally conformally flat manifolds

Details A fully nonlinear conformal flow on locally conformally flat manifolds A fully nonlinear conformal flow on locally conformally flat manifolds

2001-12-22

arxiv.org/abs/math/0112256v1

Mathematics

Differential Geometry

16 pages

Scientific paper

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 $k \neq n/2$.

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