The Scalar Curvature Problem on the Four Dimensional Half Sphere
Analysis of PDEs
2016-09-07 v4 Differential Geometry
Abstract
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.
Cite
@article{arxiv.math/0303039,
title = {The Scalar Curvature Problem on the Four Dimensional Half Sphere},
author = {M. Ben Ayed and K. El Mehdi and M. Ould Ahmedou},
journal= {arXiv preprint arXiv:math/0303039},
year = {2016}
}
Comments
19 pages