Schouten tensor equations in conformal geometry with prescribed boundary metric
Analysis of PDEs
2007-05-23 v1 Differential Geometry
Abstract
On a manifold with boundary, we deform the metric conformally. This induces a deformation of the Schouten tensor. We fix the metric at the boundary and realize a prescribed value for the product of the eigenvalues of the Schouten tensor in the interior, provided that there exists a subsolution.
Cite
@article{arxiv.math/0307247,
title = {Schouten tensor equations in conformal geometry with prescribed boundary metric},
author = {Oliver C. Schnuerer},
journal= {arXiv preprint arXiv:math/0307247},
year = {2007}
}