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)|
|Title of host publication||Differential Geometry, Mathematical Physics, Mathematics and Society Part 2|
|Number of pages||16|
|State||Published - Dec 1 2008|
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