### Abstract

For a smooth compact Riemannian manifold with positive Yamabe invariant, positive Q curvature and dimension at least 5, we prove the existence of a conformal metric with constant Q curvature. Our approach is based on the study of extremal problem for a new functional involving the Paneitz operator.

Original language | Undefined |
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Article number | 1411.3926 |

Journal | arXiv |

State | Published - Nov 14 2014 |

### Keywords

- math.DG
- math.AP
- 58J05, 53C21

## Cite this

Hang, F., & Yang, P. C. (2014). Q curvature on a class of manifolds with dimension at least 5.

*arXiv*, [1411.3926].