On Conformal Paneitz Curvature Equations in Higher Dimensional Spheres
Analysis of PDEs
2007-05-23 v1 Differential Geometry
Abstract
We study the problem of prescribing the Paneitz curvature on higher dimensional spheres. Particular attention is paid to the blow-up points, i.e. the critical points at infinity of the corresponding variational problem. Using topological tools and a careful analysis of the gradient flow lines in the neighborhood of such critical points at infinity, we prove some existence results.
Cite
@article{arxiv.math/0412106,
title = {On Conformal Paneitz Curvature Equations in Higher Dimensional Spheres},
author = {Khalil El Mehdi},
journal= {arXiv preprint arXiv:math/0412106},
year = {2007}
}
Comments
29 pages