A fully nonlinear conformal flow on locally conformally flat manifolds

Pengfei Guan; Guofang Wang

A fully nonlinear conformal flow on locally conformally flat manifolds

Differential Geometry 2007-05-23 v1

Authors: Pengfei Guan , Guofang Wang

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 $k \neq n/2$ .

Keywords

yamabe problem geometric flows geodesic flow

Cite

@article{arxiv.math/0112256,
  title  = {A fully nonlinear conformal flow on locally conformally flat manifolds},
  author = {Pengfei Guan and Guofang Wang},
  journal= {arXiv preprint arXiv:math/0112256},
  year   = {2007}
}

Comments

16 pages

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