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 2008|
All Science Journal Classification (ASJC) codes
- Poincaré-Einstein structure
- Renormalized volume