A uniform estimate for scalar curvature equation on manifolds of dimension 4 |
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| Authors: | Samy Skander Bahoura |
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| Affiliation: | Équipe d?Analyse Complexe et Géométrie, Université Pierre et Marie Curie, 2, place Jussieu, 75005 Paris, France |
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| Abstract: | We consider the solutions to the prescribed scalar curvature equation on a four-dimensional Riemannian manifold M. We prove an upper bound for the supremum of all the solutions on every compact subset K of M, provided that all the solutions on M are bounded from below by a positive number. |
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