Conformal Metrics with Constant Q-Curvature
Differential Geometry
2008-04-25 v1 Analysis of PDEs
Abstract
We consider the problem of varying conformally the metric of a four dimensional manifold in order to obtain constant -curvature. The problem is variational, and solutions are in general found as critical points of saddle type. We show how the problem leads naturally to consider the set of formal barycenters of the manifold.
Cite
@article{arxiv.0712.2123,
title = {Conformal Metrics with Constant Q-Curvature},
author = {Andrea Malchiodi},
journal= {arXiv preprint arXiv:0712.2123},
year = {2008}
}
Comments
This is a contribution to the Proceedings of the 2007 Midwest Geometry Conference in honor of Thomas P. Branson, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/