Q curvature prescription; forbidden functions and the GJMS null space

2008/10/31 by Gover, A. Rod · 1 citation
#35J60 #53A30 (Primary) #53A55 (Secondary) #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.0810.5604

Abstract

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

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• The GJMS operators in geometry, analysis, and physics

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