A priori estimates for the scalar curvature equation on $S^3$
Analysis of PDEs
2007-05-23 v1 Differential Geometry
Abstract
We obtain a priori estimates for solutions to the prescribed scalar curvature equation on . The usual non-degeneracy assumption on the curvature function is replaced by a new condition, which is necessary and sufficient for the existence of a priori estimates, when the curvature function is a positive Morse function.
Keywords
Cite
@article{arxiv.math/0412047,
title = {A priori estimates for the scalar curvature equation on $S^3$},
author = {Matthias Schneider},
journal= {arXiv preprint arXiv:math/0412047},
year = {2007}
}
Comments
36 pages