Comptes Rendus
no. 2
Differential Geometry
The Mass according to Arnowitt, Deser and Misner
Thierry Aubin
Thierry Aubin1
1Université Pierre et Marie Curie, 4, place Jussieu, 75252 Paris cedex 05, France
Comptes Rendus. Mathématique, Volume 345 (2007) no. 2, pp. 87-91

For asymptotically Euclidean manifolds of order τ>(n−2)/2, under the hypothesis that the mass m (according to Arnowitt, Deser and Misner) exists (in particular if the scalar curvature is ⩾0 and integrable), there exists a real number A>0 such that m⩾4(n−1)A on each end (except if the metric is Euclidean).

Pour une variété asymptotiquement euclidienne d'ordre τ>(n−2)/2, sous l'hypothèse que la masse m (selon Arnowitt, Deser et Misner) existe (notamment si la courbure scalaire est ⩾0 et intégrable), il existe un réel A>0 tel que m>4(n−1)A sur chaque bout (sauf si la métrique est euclidienne).

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2007.06.004

Thierry Aubin  1

1 Université Pierre et Marie Curie, 4, place Jussieu, 75252 Paris cedex 05, France 
Thierry Aubin. The Mass according to Arnowitt, Deser and Misner. Comptes Rendus. Mathématique, Volume 345 (2007) no. 2, pp. 87-91. doi: 10.1016/j.crma.2007.06.004
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