Existence of conformal metrics on spheres with prescribed Paneitz curvature

In this paper we study the problem of prescribing a fourth order conformal invariant (the Paneitz curvature) on the n-spheres, with n >= 5. Using tools from the theory of critical points at infinity, we provide some topological conditions on the level sets of a given function defined on the spher...

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Detalles Bibliográficos
Autores principales: Ben-Ayed, M, El-Mehdi, K
Lenguaje:eng
Publicado: 2003
Materias:
General Theoretical Physics
Acceso en línea:http://cds.cern.ch/record/747011
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author Ben-Ayed, M
El-Mehdi, K
author_facet Ben-Ayed, M
El-Mehdi, K
author_sort Ben-Ayed, M
collection CERN
description In this paper we study the problem of prescribing a fourth order conformal invariant (the Paneitz curvature) on the n-spheres, with n >= 5. Using tools from the theory of critical points at infinity, we provide some topological conditions on the level sets of a given function defined on the sphere, under which we prove the existence of conformal metric with prescribed Paneitz curvature.
id cern-747011
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2003
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spelling cern-7470112019-09-30T06:29:59Zhttp://cds.cern.ch/record/747011engBen-Ayed, MEl-Mehdi, KExistence of conformal metrics on spheres with prescribed Paneitz curvatureGeneral Theoretical PhysicsIn this paper we study the problem of prescribing a fourth order conformal invariant (the Paneitz curvature) on the n-spheres, with n >= 5. Using tools from the theory of critical points at infinity, we provide some topological conditions on the level sets of a given function defined on the sphere, under which we prove the existence of conformal metric with prescribed Paneitz curvature.IC-2003-55oai:cds.cern.ch:7470112003
spellingShingle General Theoretical Physics
Ben-Ayed, M
El-Mehdi, K
Existence of conformal metrics on spheres with prescribed Paneitz curvature
title Existence of conformal metrics on spheres with prescribed Paneitz curvature
title_full Existence of conformal metrics on spheres with prescribed Paneitz curvature
title_fullStr Existence of conformal metrics on spheres with prescribed Paneitz curvature
title_full_unstemmed Existence of conformal metrics on spheres with prescribed Paneitz curvature
title_short Existence of conformal metrics on spheres with prescribed Paneitz curvature
title_sort existence of conformal metrics on spheres with prescribed paneitz curvature
topic General Theoretical Physics
url http://cds.cern.ch/record/747011
work_keys_str_mv AT benayedm existenceofconformalmetricsonsphereswithprescribedpaneitzcurvature
AT elmehdik existenceofconformalmetricsonsphereswithprescribedpaneitzcurvature

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