### Abstract

In this paper we survey some analytic results concerned with the top order Q-curvature equation in conformal geometry. Q-curvature is the natural generalization of the Gauss curvature to even dimensional manifolds. Its close relation to the Pfaffian, the integrand in the Gauss-Bonnet formula, provides a direct relation between curvature and topology.

Original language | English (US) |
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Title of host publication | Differential Geometry, Mathematical Physics, Mathematics and Society Part 2 |

Pages | 23-38 |

Number of pages | 16 |

Edition | 322 |

State | Published - Dec 1 2008 |

### Publication series

Name | Asterisque |
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Number | 322 |

ISSN (Print) | 0303-1179 |

### All Science Journal Classification (ASJC) codes

- Mathematics(all)

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## Cite this

Chang, S. Y. A., & Yang, P. C. (2008). The Q-curvature equation in conformal geometry. In

*Differential Geometry, Mathematical Physics, Mathematics and Society Part 2*(322 ed., pp. 23-38). (Asterisque; No. 322).