Existence of conformal metric with constant Q-curvature
|
Mon, 02/02/2009 17:00 |
Andrea Malchiodi (SISSA) |
Partial Differential Equations Seminar  |
Gibson 1st Floor SR |
| A classical problem in differential geometry is to deform the metric of a given manifold so that some of its curvatures become prescribed functions. Classical examples are the Uniformization problem for compact surfaces and the Yamabe problem for compact manifolds of dimension greater than two. We address a similar problem for the so-called Q-curvature, which plays an important role in conformal geometry and is a natural higher order analogue of the Gauss curvature. The problem is tackled using a variational and Morse theoretical approach. | |||