Q curvature prescription; forbidden functions and the GJMS null space

dc.creatorGover, A. Rod
dc.date2008-10-31
dc.date.accessioned2026-07-07T10:14:32Z
dc.date.available2026-07-07T10:14:32Z
dc.descriptionOn 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 $c$.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/0810.5604
dc.identifierhttp://arxiv.org/abs/0810.5604
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172910
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subject53A30 (Primary); 35J60, 53A55 (Secondary)
dc.titleQ curvature prescription; forbidden functions and the GJMS null space
dc.typetext

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