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ISSN 1088-6826(e) ISSN 0002-9939(p)

Q-curvature prescription; forbidden functions and the GJMS null space

Author(s): A. Rod Gover
Journal: Proc. Amer. Math. Soc. 138 (2010), 1453-1459.
MSC (2010): Primary 53A30; Secondary 35J60, 53A55
Posted: December 11, 2009
MathSciNet review: 2578539
Retrieve article in: PDF

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Abstract: On a closed even conformal manifold , such that the critical GJMS operator has a non-trivial kernel, we identify and discuss the role of a finite dimensional vector space $\mathcal{N}(\mathcal{Q})$ of functions determined by the conformal structure. Using these we describe an infinite dimensional class of functions that cannot be the Q-curvature for any $g\in c$ . If certain functions arise in $\mathcal N(\mathcal Q)$ , then cannot be constant for any $g\in c$ .

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