Prescribing the symmetric function of the eigenvalues of the Schouten tensor
Differential Geometry
2010-11-01 v1 Analysis of PDEs
Abstract
In this paper we study the problem of conformally deforming a metric to a prescribed symmetric function of the eigenvalues of the Schouten tensor on compact Riemannian manifolds with boundary. We prove its solvability and the compactness of the solution set, provided the Ricci tensor is non-negative definite.
Keywords
Cite
@article{arxiv.1010.6116,
title = {Prescribing the symmetric function of the eigenvalues of the Schouten tensor},
author = {Yan He and Weimin Sheng},
journal= {arXiv preprint arXiv:1010.6116},
year = {2010}
}