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The intermediate case of the Yamabe problem for higher order curvatures

Trudinger, Neil; Wang, Xu-Jia


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.

CollectionsANU Research Publications
Date published: 2010
Type: Journal article
Source: International Mathematics Research Notices
DOI: 10.1093/imrn/rnp227


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