C. Bär, Extrinsic bounds for the eigenvalues of the Dirac operator, Annals of Global Analysis and Geometry, vol.16, issue.6, pp.573-596, 1998.
DOI : 10.1023/A:1006550532236

P. Bayard, On the spinorial representation of spacelike surfaces into 4- dimensional Minkowski space, preprint, 2012.

T. Friedrich, On surfaces in four-spaces, Annals of Global Analysis and Geometry, vol.XXXIX, issue.3, pp.257-287, 1984.
DOI : 10.1007/BF01876417

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

N. Ginoux and B. , ON EIGENVALUE ESTIMATES FOR THE SUBMANIFOLD DIRAC OPERATOR, International Journal of Mathematics, vol.13, issue.05, pp.533-548, 2002.
DOI : 10.1142/S0129167X0200140X

O. Hijazi and X. Zhang, Lower bounds for the eigenvalues of the Dirac operator , Part II. The submanifold Dirac operator, Annals of Global Analysis and Geometry, vol.20, issue.2, pp.163-181, 2001.
DOI : 10.1023/A:1011663603699

B. G. Konopelchenko, Weierstrass representations for surfaces in 4D spaces and their integrable deformations via DS hierarchy, Annals of Global Analysis and Geometry, vol.18, issue.1, pp.61-74, 2000.
DOI : 10.1023/A:1006608908156

R. Kusner and N. Schmidt, The spinor representation of surfaces in space, Preprint arxiv dg-ga, p.9610005, 1996.

M. A. Lawn, Immersions of Lorentzian surfaces in, Journal of Geometry and Physics, vol.58, issue.6, pp.683-700, 2008.
DOI : 10.1016/j.geomphys.2008.01.007

M. A. Lawn and J. Roth, Spinorial Characterizations of Surfaces into 3-dimensional Pseudo-Riemannian Space Forms, Mathematical Physics, Analysis and Geometry, vol.60, issue.2, pp.185-195, 2011.
DOI : 10.1007/s11040-011-9093-3

H. B. Lawson, The Global Behavior of Minimal Surfaces in S n, The Annals of Mathematics, vol.92, issue.2, pp.224-237, 1970.
DOI : 10.2307/1970835

J. Roth, Spinorial characterizations of surfaces into three-dimensional homogeneous manifolds, Journal of Geometry and Physics, vol.60, issue.6-8, pp.1045-1061, 2010.
DOI : 10.1016/j.geomphys.2010.03.007
URL : https://hal.archives-ouvertes.fr/hal-00693020

I. Taimanov, Surfaces of revolution in terms of solitons, Ann. Glob. Anal. Geom, vol.15, pp.410-435, 1997.

I. Taimanov, Surfaces in the four-space and the Davey???Stewartson equations, Journal of Geometry and Physics, vol.56, issue.8, pp.1235-1256, 2006.
DOI : 10.1016/j.geomphys.2005.06.013

K. Tenenblat, On isometric immersions of riemannian manifolds, Boletim da Sociedade Brasileira de Matem??tica, vol.38, issue.2, pp.23-36, 1971.
DOI : 10.1007/BF02584682