%0 Journal Article
%T Un th¨¦or¨¨me de la masse positive pour le probl¨¨me de Yamabe en dimension paire
%A Pierre Jammes
%J Mathematics
%D 2008
%I arXiv
%X Let $(M,g)$ be a compact conformally flat manifold of dimension $n\geq4$ with positive scalar curvature. According to a positive mass theorem by Schoen and Yau, the constant term in the development of the Green function of the conformal Laplacian is positive if $(M,g)$ is not conformally equivalent to the sphere. On spin manifolds, there is an elementary proof of this fact by Ammann and Humbert, based on a proof of Witten. Using differential forms instead of spinors, we give an elementary proof on even dimensional manifolds, without any other topological assumption.
%U http://arxiv.org/abs/0807.3179v2