The intermediate case of the Yamabe problem for higher order curvatures
In this paper, we prove the solvability, together with the compactness of the solution set, for the n/2-Yamabe problem on compact Riemannian manifolds of arbitrary even dimension n > 2. These results had previously been obtained by Chang, Gursky, and Yang for the case n = 4 and by Li and Li for locally conformally flat manifolds in all even dimensions. Our proof also applies to more generally prescribed symmetric functions of the Ricci curvatures.
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|Source:||International Mathematics Research Notices|
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