Variational status of a class of fully nonlinear curvature prescription problems

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dc.creatorBranson, Thomas P.
dc.creatorGover, A. Rod
dc.date2006-10-26
dc.date.accessioned2026-07-07T07:29:26Z
dc.date.available2026-07-07T07:29:26Z
dc.descriptionPrescribing, by conformal transformation, the kth-elementary symmetric polynomial of the Schouten tensor $P$ to be constant is a generalisation of the Yamabe problem. On compact Riemannian n-manifolds we show that, for k between and including 3 and n, this prescription equation is an Euler-Lagrange equation of some action if and only if the structure is locally conformally flat.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/math/0610773
dc.identifierhttp://arxiv.org/abs/math/0610773
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/118111
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subjectPrimary 53C20; Secondary 53J50, 35J60,35K55, 53A30
dc.titleVariational status of a class of fully nonlinear curvature prescription problems
dc.typetext

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