%0 Journal Article %T The Scalar Curvature Equation on $S^3$ %A Matthias Schneider %J Mathematics %D 2008 %I arXiv %X We give existence results for solutions of the prescribed scalar curvature equation on $S^3$, when the curvature function is a positive Morse function and satisfies an index-count condition. %U http://arxiv.org/abs/0808.4005v1