On the local Nirenberg problem for the $Q$-curvatures
Differential Geometry
2007-05-23 v1 Analysis of PDEs
Abstract
We prove in this article that the local image of each conformal -curvature operator of arbitrary order on the sphere admits no scalar constraint. However, we prove that identities of Kazdan--Warner type hold for its graph.
Cite
@article{arxiv.math/0601732,
title = {On the local Nirenberg problem for the $Q$-curvatures},
author = {Philippe Delanoë and Frédéric Robert},
journal= {arXiv preprint arXiv:math/0601732},
year = {2007}
}
Comments
10 pages