The scalar curvature problem on the four dimensional half sphere

In this paper, we consider the problem of prescribing the scalar curvature under minimal boundary conditions on the standard four dimensional half sphere. We provide an Euler-Hopf type criterion for a given function to be a scalar curvature for some metric conformal to the standard one. Our proof in...

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Detalles Bibliográficos
Autores principales: Ben-Ayed, M, Ahmedou, M O, El-Mehdi, K
Lenguaje:eng
Publicado: 2003
Materias:
General Theoretical Physics
Acceso en línea:http://cds.cern.ch/record/747018
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author Ben-Ayed, M
Ahmedou, M O
El-Mehdi, K
author_facet Ben-Ayed, M
Ahmedou, M O
El-Mehdi, K
author_sort Ben-Ayed, M
collection CERN
description In this paper, we consider the problem of prescribing the scalar curvature under minimal boundary conditions on the standard four dimensional half sphere. We provide an Euler-Hopf type criterion for a given function to be a scalar curvature for some metric conformal to the standard one. Our proof involves the study of critical points at infinity of the associated variational problem.
id cern-747018
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2003
record_format invenio
spelling cern-7470182019-09-30T06:29:59Zhttp://cds.cern.ch/record/747018engBen-Ayed, MAhmedou, M OEl-Mehdi, KThe scalar curvature problem on the four dimensional half sphereGeneral Theoretical PhysicsIn this paper, we consider the problem of prescribing the scalar curvature under minimal boundary conditions on the standard four dimensional half sphere. We provide an Euler-Hopf type criterion for a given function to be a scalar curvature for some metric conformal to the standard one. Our proof involves the study of critical points at infinity of the associated variational problem.IC-2003-47oai:cds.cern.ch:7470182003
spellingShingle General Theoretical Physics
Ben-Ayed, M
Ahmedou, M O
El-Mehdi, K
The scalar curvature problem on the four dimensional half sphere
title The scalar curvature problem on the four dimensional half sphere
title_full The scalar curvature problem on the four dimensional half sphere
title_fullStr The scalar curvature problem on the four dimensional half sphere
title_full_unstemmed The scalar curvature problem on the four dimensional half sphere
title_short The scalar curvature problem on the four dimensional half sphere
title_sort scalar curvature problem on the four dimensional half sphere
topic General Theoretical Physics
url http://cds.cern.ch/record/747018
work_keys_str_mv AT benayedm thescalarcurvatureproblemonthefourdimensionalhalfsphere
AT ahmedoumo thescalarcurvatureproblemonthefourdimensionalhalfsphere
AT elmehdik thescalarcurvatureproblemonthefourdimensionalhalfsphere
AT benayedm scalarcurvatureproblemonthefourdimensionalhalfsphere
AT ahmedoumo scalarcurvatureproblemonthefourdimensionalhalfsphere
AT elmehdik scalarcurvatureproblemonthefourdimensionalhalfsphere

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