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

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

2004-12-02

arxiv.org/abs/math/0412047v1

Mathematics

Analysis of PDEs

36 pages

Scientific paper

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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