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A priori estimates for the scalar curvature equation on $S^3$

Matthias Schneider
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Abstract

We obtain a priori estimates for solutions to the prescribed scalar curvature equation on $S^3$. 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.

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Matthias Schneider. 2004-12-02. A priori estimates for the scalar curvature equation on $S^3$. https://arxiv.org/abs/math/0412047

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