Large N field theories, string theory and gravity, Physics Reports, vol.323, issue.3-4, pp.183-386, 2000. ,
DOI : 10.1016/S0370-1573(99)00083-6
Topics in conformally compact Einstein metrics. Perspectives in Riemannian geometry, CRM Proc. Lecture Notes, pp.1-26, 2006. ,
Galilean conformal algebras and AdS/CFT, Journal of High Energy Physics, vol.70, issue.07, p.37, 2009. ,
DOI : 10.1103/PhysRevD.56.4844
URL : http://arxiv.org/abs/0902.1385
Gravity Duals for Nonrelativistic Conformal Field Theories, Physical Review Letters, vol.101, issue.6, pp.61601-1101, 2008. ,
DOI : 10.1103/PhysRevLett.101.061601
On the Curvature Groups of a CR Manifold, Mediterranean Journal of Mathematics, vol.3, issue.3-4, pp.399-407, 2006. ,
DOI : 10.1007/s00009-006-0086-6
Symmetries and currents of the ideal and unitary Fermi gases, Journal of High Energy Physics, vol.660, issue.2 ,
DOI : 10.1007/JHEP02(2012)113
URL : https://hal.archives-ouvertes.fr/hal-00667316
Geometry of Schrödinger space-times, global coordinates, and harmonic trapping Geometry of Schrödinger space-times II: particles and fields probes of the causal structure, J. High Energy Phys. J. High Energy Phys, vol.7, issue.33, p.69, 2009. ,
About the non-relativistic structure of the conformal algebra, Communications in Mathematical Physics, vol.4, issue.2, pp.34-85, 1973. ,
DOI : 10.1007/BF01646438
Asymptotic symmetries of Schrödinger spacetimes, J. High Energy Phys, vol.10, issue.26, p.32, 2009. ,
Differential geometry and analysis on CR manifolds, Progress in Mathematics, vol.246, 2006. ,
Quelques procédures géométriques en dynamique des particules Nonrelativistic Conformal Symmetries and Bargmann Structures, Conformal Groups and Related Symmetries. Physical Results and Mathematical Background, 1982. ,
The BRS method and geometric quantization: Some examples, Communications in Mathematical Physics, vol.28, issue.3, pp.535-557, 1990. ,
DOI : 10.1007/BF02125699
Bargmann structures and Newton-Cartan theory, Physical Review D, vol.31, issue.8, p.1841, 1985. ,
DOI : 10.1103/PhysRevD.31.1841
Celestial mechanics, conformal structures, and gravitational waves, Physical Review D, vol.43, issue.12, p.3907, 1991. ,
DOI : 10.1103/PhysRevD.43.3907
The geometry of Schr??dinger symmetry in non-relativistic CFT, Annals of Physics, vol.324, issue.5, pp.1158-1167, 2009. ,
DOI : 10.1016/j.aop.2009.01.006
Non-relativistic conformal symmetries and Newton???Cartan structures, Journal of Physics A: Mathematical and Theoretical, vol.42, issue.46, p.pp, 2009. ,
DOI : 10.1088/1751-8113/42/46/465206
URL : https://hal.archives-ouvertes.fr/hal-00373011
Conformal Galilei groups, Veronese curves and Newton???Hooke spacetimes, Journal of Physics A: Mathematical and Theoretical, vol.44, issue.33, p.pp, 2011. ,
DOI : 10.1088/1751-8113/44/33/335203
URL : https://hal.archives-ouvertes.fr/hal-00583704
Conformally equivariant quantum Hamiltonians, Selecta Mathematica, vol.7, issue.3, pp.291-320, 2001. ,
DOI : 10.1007/PL00001403
Symmetries and Invariant Differential Pairings, Symmetry, Integrability and Geometry: Methods and Applications, vol.3, issue.10, 2007. ,
DOI : 10.3842/SIGMA.2007.113
Exact solutions of the gravitational field equations " , in Gravitation: An introduction to current research, L. Witten Ed, 1962. ,
Monge-Ampere Equations, the Bergman Kernel, and Geometry of Pseudoconvex Domains, The Annals of Mathematics, vol.103, issue.3, pp.395-416, 1976. ,
DOI : 10.2307/1970945
Conformal invariants The ambient metric, The Mathematical Heritage of Elie Cartan Astérisque, hors série, pp.95-116, 1984. ,
Géométrie et dynamique lorentziennes conformes, 2002. ,
Anti-de-Sitter Spacetime and Its Uses, Proceedings of the 2nd Samos Meeting on Cosmology, 2000. ,
DOI : 10.1007/3-540-46671-1_5
AdS/CFT duality for non-relativistic field theory, Journal of High Energy Physics, vol.2002, issue.03, p.69, 2009. ,
DOI : 10.1103/PhysRevLett.88.151301
On Sparling's Characterization of Fefferman Metrics, American Journal of Mathematics, vol.109, issue.5, pp.853-874, 1987. ,
DOI : 10.2307/2374491
Variations on a theme by Kepler, p.42, 1990. ,
DOI : 10.1090/coll/042
Scale and Conformal Transformations in Galilean-Covariant Field Theory, Physical Review D, vol.5, issue.2, p.377, 1972. ,
DOI : 10.1103/PhysRevD.5.377
Asymptotically Schrödinger Space-Times: TsT Transformations and Thermodynamics, J. High Energy Phys, vol.29, pp.1-084, 2011. ,
Field-Dependent Symmetries of a Non-relativistic Fluid Model, Annals of Physics, vol.282, issue.2, pp.218-246, 2000. ,
DOI : 10.1006/aphy.1999.6002
Anisotropic conformal infinity, General Relativity and Gravitation, vol.03, issue.5, pp.1391-1400, 2011. ,
DOI : 10.1007/s10714-010-1117-y
Introducing scale symmetry, Physics Today, vol.25, issue.1, pp.23-27, 1972. ,
DOI : 10.1063/1.3070673
Null-Killing vector dimensional reduction and Galilean geometrodynamics, Nuclear Physics B, vol.439, issue.1-2, pp.291-323, 1995. ,
DOI : 10.1016/0550-3213(94)00584-2
URL : https://hal.archives-ouvertes.fr/hal-00004831
Solutions of the Gravitational Field equations, 1980. ,
Galilei and Lorentz structures on space-time: Comparison of the corresponding geometry and physics, Ann. Inst. H. Poincaré. Phys. Théor, vol.17, pp.337-362, 1972. ,
The Fefferman metric and pseudo-Hermitian invariants, Transactions of the American Mathematical Society, vol.296, issue.1, pp.411-429, 1986. ,
DOI : 10.1090/S0002-9947-1986-0837820-2
Ambient metrics of the n-dimensional ppwaves, Comm. Math. Phys, vol.296, pp.3-881, 2010. ,
Non-relativistic holography and singular black hole, Physics Letters B, vol.679, issue.1, pp.65-72, 2009. ,
DOI : 10.1016/j.physletb.2009.07.002
The large $N$ limit of superconformal field theories and supergravity, Advances in Theoretical and Mathematical Physics, vol.2, issue.2, pp.231-252, 1998. ,
DOI : 10.4310/ATMP.1998.v2.n2.a1
Comments on string theory backgrounds with non-relativistic conformal symmetry, Journal of High Energy Physics, vol.2008, issue.10, p.72, 2008. ,
DOI : 10.1088/1126-6708/2008/10/072
Correspondence between nonrelativistic anti-de Sitter space and conformal field theory, and aging-gravity duality, Physical Review E, vol.78, issue.6, p.61108, 2008. ,
DOI : 10.1103/PhysRevE.78.061108
The maximal kinematical symmetry group of the free Schrödinger equation, Helv. Phys. Acta, vol.45, p.802, 1972. ,
Conformal treatment of infinity " . 1964 Relativité, Groupes et Topologie (Lectures, Les Houches, pp.565-584, 1963. ,
Chronoprojective invariance of the five-dimensional Schrodinger formalism, Classical and Quantum Gravity, vol.3, issue.3, pp.461-480, 1986. ,
DOI : 10.1088/0264-9381/3/3/020
The Schrödinger-Virasoro Algebra: Mathematical Structure and Dynamical Schrödinger Symmetries, Theoretical and Mathematical Physics Series, 2012. ,
geometry, Classical and Quantum Gravity, vol.18, issue.11, pp.2117-2124, 2001. ,
DOI : 10.1088/0264-9381/18/11/309
Coset construction for duals of non-relativistic CFTs, Journal of High Energy Physics, vol.2008, issue.05, pp.905-943, 2009. ,
DOI : 10.1016/S0550-3213(02)00003-2
Toward an AdS/cold atoms correspondence: A geometric realization of the Schr??dinger symmetry, Physical Review D, vol.78, issue.4, p.46003, 2008. ,
DOI : 10.1103/PhysRevD.78.046003
Géométrie globale duprobì emè a deux corps, Proc. IUTAM- ISIMM symposium on modern developments in analytical mechanics, 1982. ,