The Q-curvature equation in conformal geometry

Research output: Chapter in Book/Report/Conference proceedingChapter

2 Scopus citations

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 languageEnglish (US)
Title of host publicationDifferential Geometry, Mathematical Physics, Mathematics and Society Part 2
Pages23-38
Number of pages16
Edition322
StatePublished - Dec 2008

Publication series

NameAsterisque
Number322
ISSN (Print)0303-1179

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Keywords

  • Compactification
  • Poincaré-Einstein structure
  • Q-curvature
  • Renormalized volume

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