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A fourth order uniformization theorem on some four manifolds with large total Q-curvature

TitleA fourth order uniformization theorem on some four manifolds with large total Q-curvature
Publication TypeJournal Article
Year of Publication2005
AuthorsDjadli, Z, Malchiodi, A
JournalC. R. Acad. Sci. Paris, Ser. I 340 (2005) 341-346.
Abstract

Given a four-dimensional manifold (M,g), we study the existence of a conformal metric for which the Q-curvature, associated to a conformally invariant fourth-order operator (the Paneitz operator), is constant. Using a topological argument, we obtain a new result in cases which were still open.

URLhttp://hdl.handle.net/1963/4868
DOI10.1016/j.crma.2005.01.013
Alternate JournalUn théorème d\\\'uniformisation d\\\'ordre 4 sur certaines variétés de dimension 4 à large Q-courbure totale

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