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Conformal Metrics with Constant Q-Curvature

TitleConformal Metrics with Constant Q-Curvature
Publication TypeJournal Article
Year of Publication2007
AuthorsMalchiodi, A
JournalSIGMA 3 (2007) 120

We consider the problem of varying conformally the metric of a four dimensional manifold in order to obtain constant $Q$-curvature. The problem is variational, and solutions are in general found as critical points of saddle type. We show how the problem leads naturally to consider the set of formal barycenters of the manifold.


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