T. Aubin, Nonlinear Analysis on Manifolds, Monge-Ampre Equations, 1982.

C. Bär, Lower eigenvalue estimates for Dirac operators, Math. Ann, vol.239, pp.39-46, 1992.

C. Bär, Real Killing spinors and holonomy, Communications in Mathematical Physics, vol.259, issue.3, pp.509-521, 1993.
DOI : 10.1007/BF02102106

C. Bär, Zero sets of solutions to semilinear elliptic systems of first order, Invent. Math, vol.138, issue.1, pp.183-202, 1999.

T. Friedrich, Der erste Eigenwert des Dirac-Operators einer kompakten, Riemannschen Mannigfaltigkeit nichtnegativer Skalarkr??mmung, Mathematische Nachrichten, vol.96, issue.1, pp.117-146, 1980.
DOI : 10.1002/mana.19800970111

T. Friedrich, On the spinor representation of surfaces in Euclidean 3-space, Journal of Geometry and Physics, vol.28, issue.1-2, pp.143-157, 1998.
DOI : 10.1016/S0393-0440(98)00018-7

T. Friedrich, Dirac operator's in Riemannian Geometry, Graduate studies in mathematics

N. Ginoux and G. Habib, Geometric aspects of transversal Killing spinors on??Riemannian flows, Abhandlungen aus dem Mathematischen Seminar der Universit??t Hamburg, vol.7, issue.4, pp.69-90, 2008.
DOI : 10.1007/s12188-008-0006-8

URL : https://hal.archives-ouvertes.fr/hal-00322108

N. Ginoux and G. Habib, A spectral estimate for the Dirac operator on Riemannian flows, Central European Journal of Mathematics, vol.8, issue.5, p.preprint, 2009.
DOI : 10.2478/s11533-010-0060-1

URL : https://hal.archives-ouvertes.fr/hal-00523746

M. J. Gursky and C. Lebrun, Yamabe Invariants and $ Spin^c $ Structures, Geometric And Functional Analysis, vol.8, issue.6, 1998.
DOI : 10.1007/s000390050120

G. Habib, Energy???momentum tensor on foliations, Journal of Geometry and Physics, vol.57, issue.11, pp.2234-2248, 2007.
DOI : 10.1016/j.geomphys.2007.07.002

URL : https://hal.archives-ouvertes.fr/hal-00159103

E. Hebey, IntroductionàIntroductionà l'analyse non linéaire sur les variétés, Diderot Editeur, Arts et Sciences, pp.239-296, 1997.

M. Herzlich and A. Moroianu, Generalized Killing spinors and conformal eigenvalue estimates for Spin c manifold, Annals of Global Analysis and Geometry, vol.17, issue.4, pp.341-370, 1999.
DOI : 10.1023/A:1006546915261

O. Hijazi, A conformal lower bound for the smallest eigenvalue of the Dirac operator and killing spinors, Communications in Mathematical Physics, vol.28, issue.Suppl. 1, pp.151-162, 1986.
DOI : 10.1007/BF01210797

O. Hijazi, Premì ere valeur propre de l'opérateur de Dirac et nombre de Yamabe, C. R. Acad. Sci, pp.865-868, 1991.

O. Hijazi, Lower bounds for the eigenvalues of the Dirac operator, Journal of Geometry and Physics, vol.16, issue.1, pp.27-38, 1995.
DOI : 10.1016/0393-0440(94)00019-Z

O. Hijazi, Spertral properties of the Dirac operator and geometrical structures , Proceedings of the summer school on geometric methods in quantum field theory, Villa de Leyva, Colombia, 1999.

E. C. Kim and T. Friedrich, The Einstein-Dirac equation on Riemannian spin manifolds, Journal of Geometry and Physics, vol.33, issue.1-2, pp.128-172, 2000.
DOI : 10.1016/S0393-0440(99)00043-1

S. Kobayashi and K. Nomizu, Foundations of differential Geometry, 1996.

A. Moroianu, Parallel and Killing Spinors on Spin c Manifolds, Communications in Mathematical Physics, vol.187, issue.2, pp.417-428, 1997.
DOI : 10.1007/s002200050142

URL : https://hal.archives-ouvertes.fr/hal-00125985

R. Nakad, The Energy-Momentum tensor on Spin c manifolds. (In prepa- ration)
URL : https://hal.archives-ouvertes.fr/hal-00492141