The scalar curvature problem on the four dimensional half sphere

Ben Ayed, M.; El Mehdi, K.; Ould Ahmedou, M.
April 2005
Calculus of Variations & Partial Differential Equations;Apr2005, Vol. 22 Issue 4, p465
Academic Journal
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 to a metric conformal to the standard one. Our proof involves the study of critical points at infinity of the associated variational problem.


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