Prescribing symmetric functions of the eigenvalues of the Ricci tensor
Differential Geometry
2009-08-26 v2 Analysis of PDEs
Abstract
We study the problem of conformally deforming a metric to a prescribed symmetric function of the eigenvalues of the Ricci tensor. We prove an existence theorem for a wide class of symmetric functions on manifolds with positive Ricci curvature, provided the conformal class admits an admissible metric.
Keywords
Cite
@article{arxiv.math/0409187,
title = {Prescribing symmetric functions of the eigenvalues of the Ricci tensor},
author = {Matthew Gursky and Jeff Viaclovsky},
journal= {arXiv preprint arXiv:math/0409187},
year = {2009}
}
Comments
53 pages; revised version to appear in Annals of Mathematics