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arXiv:math/0412047 [math.AP]AbstractReferencesReviewsResources

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

Matthias Schneider

Published 2004-12-02Version 1

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.

Comments: 36 pages
Categories: math.AP, math.DG
Subjects: 35J60, 35J20, 55C21
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