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Ben Ayed, M.; El Mehdi, K.; Ahmedou, M. Ould, E-mail: Mohamed.Benayed@fss.rnu.tn, E-mail: khalil@unic-nkc.mr, E-mail: elmehdik@ictp.trieste.it, E-mail: ahmedou@math.uni-bonn.de
Abdus Salam International Centre for Theoretical Physics, Trieste (Italy)2003
Abdus Salam International Centre for Theoretical Physics, Trieste (Italy)2003
AbstractAbstract
[en] 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. (author)
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Jun 2003; 19 p; Also available at: http://www.ictp.trieste.it; 34 refs
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