Sign in
Back
The scalar curvature problem on the four dimensional half sphere
Journal article   Peer reviewed

The scalar curvature problem on the four dimensional half sphere

M Ben Ayed, K El Mehdi and M Ould Ahmedou
Calculus of variations and partial differential equations, Vol.22(4), pp.465-482
01/04/2005
DOI: https://doi.org/10.1007/s00526-004-0285-6

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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.

Metrics

1 Record Views

Details