The Scalar Curvature Equation on $S^3$

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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.
23 pages, 1 figure

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Differential Geometry, Analysis of PDEs, 35J60; 35J20; 55C21

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http://salesiana.dossiersoluciones.com/handle/123456789/168007

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0808.4005
 http://arxiv.org/abs/0808.4005

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arXiv