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A priori estimates for the scalar curvature equation on S3
Authors:Matthias Schneider
Affiliation:1.Mathematisches Institut,Ruprecht-Karls-Universit?t,Heidelberg,Germany
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.
Keywords:35J60  35J20  55C21
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