Sur quelques problèmes de courbure scalaire

On some problems of scalar curvature. In this article we prove, among other things, some results about two problems which are the subject of announces these last decades: (1) the compactness of the set of the solutions of the Yamabe equation on a compact Riemannian manifold, (2) a generalization of a result of the author which is necessary to solve the Yamabe problem, when 2ω n− 6. © 2005 Elsevier Inc. All rights reserved