J. P. Aubin and A. , Cellina Differential Inclusion. Grundlehren der mathematischen Wissenschaften 264, 1984.

J. K. Beem, P. E. Ehrlich, and &. L. , Easley Global Lorentzian geometry. Monograph and Textbooks in Pure Appl, Math, vol.202, 1996.

G. Beer, Topologies on closed and closed convex sets, 1993.
DOI : 10.1007/978-94-015-8149-3

A. Bernal and M. Sánchez, On Smooth Cauchy Hypersurfaces and Geroch???s Splitting Theorem, Communications in Mathematical Physics, vol.14, issue.3, pp.461-470, 2003.
DOI : 10.1007/s00220-003-0982-6

J. Dattorro, Convex optimization and Euclidean distance geometry, 2005.

A. Fathi and E. Maderna, Weak kam theorem on non compact manifolds, Nonlinear Differential Equations and Applications NoDEA, vol.14, issue.1-2, pp.1-27, 2007.
DOI : 10.1007/s00030-007-2047-6

A. Fathi and A. Siconolfi, PDE aspects of Aubry-Mather theory for quasiconvex Hamiltonians, Calculus of Variations, vol.24, issue.2, pp.185-228, 2005.
DOI : 10.1007/s00526-004-0271-z

R. Geroch, Domain of Dependence, Journal of Mathematical Physics, vol.11, issue.2, pp.437-449, 1970.
DOI : 10.1063/1.1665157

S. W. Hawking and G. F. , Ellis The large scale structure of space?time, Cambridge Monographs on Mathematical Physics, 1973.

A. Siconolfi and G. Terrone, A metric approach to the converse Lyapunov theorem for continuous multivalued dynamics, Nonlinearity, vol.20, issue.5, pp.20-1077, 2007.
DOI : 10.1088/0951-7715/20/5/002

A. Fathi, Unité de mathématiques pures et appliquées, CNRS UMR 5669 & ´ Ecole Normale Supérieure de Lyon, 46 allée d'Italie