A fully nonlinear conformal flow on locally conformally flat manifolds

Pengfei Guan; Guofang Wang

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A fully nonlinear conformal flow on locally conformally flat manifolds

Pengfei Guan·Guofang Wang

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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 $k \neq n/2$.

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Pengfei Guan, Guofang Wang. 2001-12-22. A fully nonlinear conformal flow on locally conformally flat manifolds. https://arxiv.org/abs/math/0112256

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