M. Abate and G. Patrizio, Finsler Metrics ? A Global Approach, LNM, vol.1591, 1994.
DOI : 10.1007/BFb0073980

J. C. Alvarez-paiva, Some problems on Finsler geometry, Handbook of differential geometry, 2005.

P. L. Antonelli, R. S. Ingarden, and M. Matsumoto, The Theory of Sprays and Finsler Spaces with Applications in Physics and Biology, 1993.
DOI : 10.1007/978-94-015-8194-3

A. Bejancu and H. R. Farran, A Geometric Characterization of Finsler Manifolds of Constant Curvature K = 1, Internat. J. Math. & Math. Sci, vol.23, pp.6-399, 2000.

D. Bao, S. Chern, and Z. Shen, On the Gauss-Bonnet integrand for 4-dimensional Landsberg spaces, Contemporary Mathematics 196, 1996.
DOI : 10.1090/conm/196/02426

D. Bao, S. Chern, and Z. Shen, An Introduction to Riemann-Finsler Geometry, 2000.
DOI : 10.1007/978-1-4612-1268-3

D. Bao and C. Robles, Ricci and Flag Curvatures in Finsler Geometry, 2004.

M. V. Berry, Quantal Phase Factors Accompanying Adiabatic Changes, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.392, issue.1802
DOI : 10.1098/rspa.1984.0023

K. Yu and . Bliokh, Geometrical optics of beams with vortices: Berry phase and orbital angular momentum Hall effect, Phys. Rev. Lett, vol.97, p.43901, 2006.

K. Yu, Y. P. Bliokh, and . Bliokh, Topological spin transport of photons: the optical Magnus Effect and Berry Phase, Phys. Lett. A, vol.333, pp.181-186, 2004.

K. Yu, Y. P. Bliokh, and . Bliokh, Modified geometrical optics of a smoothly inhomogeneous isotropic medium: the anisotropy, Berry phase, and the optical Magnus effect, Phys. Rev. E, vol.70, p.26605, 2004.

K. Yu, Y. P. Bliokh, and . Bliokh, Conservation of Angular Momentum, Transverse Shift, and Spin Hall Effect in Reflection and Refraction of Electromagnetic Wave Packet, Phys. Rev. Lett, vol.96, p.73903, 2006.

K. Yu, D. Bliokh, . Yu, Y. A. Frolov, and . Kravtsov, Non-Abelian evolution of electromagnetic waves in a weakly anisotropic inhomogeneous medium

M. Born and E. Wolf, Principles of optics, 1999.
DOI : 10.1017/CBO9781139644181

E. Caponio, M. A. Javaloyes, and A. Masiello, Variational properties of geodesics in non-reversible Finsler manifolds and applications

J. F. Cariñena and N. Nasarre, On the Symplectic Structures Arising in Geometric Optics, Fortschritte der Physik/Progress of Physics, vol.23, issue.3, pp.181-198, 1996.
DOI : 10.1002/prop.2190440302

J. F. Cariñena and N. Nasarre, Presymplectic geometry and Fermat's principle for anisotropic media, Journal of Physics A: Mathematical and General, vol.29, issue.8, pp.1695-1702, 1996.
DOI : 10.1088/0305-4470/29/8/017

S. Chern, Riemannian geometry as a special case of Finsler geometry, Contemporary Mathematics 196, 1996.
DOI : 10.1090/conm/196/02429

S. Chern, Finsler Geometry Is Just Riemannian Geometry without the Quadratic Restriction, Not. Amer. Math. Soc, vol.43, pp.9-959, 1996.

C. Duval, P. Horváthy, and Z. Horváth, Geometrical spinoptics and the optical Hall effect, Journal of Geometry and Physics, vol.57, issue.3, pp.925-941, 2007.
DOI : 10.1016/j.geomphys.2006.07.003

URL : https://hal.archives-ouvertes.fr/hal-00008769

C. Duval, P. Horváthy, and Z. Horváth, Fermat principle for spinning light, Physical Review D, vol.74, issue.2, p.21701, 2006.
DOI : 10.1103/PhysRevD.74.021701

URL : https://hal.archives-ouvertes.fr/hal-00133299

P. Foulon, Géométrie deséquationsdeséquations différentielles du second ordre

P. Gosselin, A. Bérard, and H. Mohrbach, Spin Hall effect of photons in a static gravitational field, Physical Review D, vol.75, issue.8, p.84035, 2007.
DOI : 10.1103/PhysRevD.75.084035

URL : https://hal.archives-ouvertes.fr/hal-00021931

V. Guillemin and S. Sternberg, Symplectic techniques in physics, 1984.

E. Gutkin and S. Tabachnikov, Billiards in Finsler and Minkowski geometries, Journal of Geometry and Physics, vol.40, issue.3-4, pp.277-301, 2002.
DOI : 10.1016/S0393-0440(01)00039-0

R. Ingarden, On physical applications of Finsler geometry, Contemporary Mathematics 196, 1996.
DOI : 10.1090/conm/196/02450

Y. A. Kravtsov, B. Bieg, K. Yu, and . Bliokh, Stokes-vector evolution in a weakly anisotropic inhomogeneous medium, Journal of the Optical Society of America A, vol.24, issue.10, pp.3388-3403, 2007.
DOI : 10.1364/JOSAA.24.003388

M. S. Knebelman, CONFORMAL GEOMETRY OF GENERALIZED METRIC SPACES, Proceedings of the National Academy of Sciences, vol.15, issue.4
DOI : 10.1073/pnas.15.4.376

H. P. Künzle, Canonical Dynamics of Spinning Particles in Gravitational and Electromagnetic Fields, Journal of Mathematical Physics, vol.13, issue.5, pp.739-744, 1972.
DOI : 10.1063/1.1666045

M. Onoda, S. Murakami, and N. Nagaosa, Geometrical aspects in optical wave-packet dynamics, Physical Review E, vol.74, issue.6, p.66610, 2006.
DOI : 10.1103/PhysRevE.74.066610

V. Perlick, Fermat principle in Finsler spacetimes, General Relativity and Gravitation, vol.47, issue.2, pp.365-380, 2006.
DOI : 10.1007/s10714-005-0225-6

H. Rund, The differential geometry of Finsler spaces, 1959.
DOI : 10.1007/978-3-642-51610-8

S. E. Segre and V. Zanza, Derivation of the pure Faraday and Cotton-Mouton effects when polarimetric effects in a tokamak are large, Plasma Phys. Control. Fusion, vol.48, pp.1-13, 2006.

Z. Shen, Landsberg Curvature, S-Curvature and Riemann Curvature, 2004.

J. Souriau, Modèle de particulè a spin dans le champélectromagnétiquechampélectromagnétique et gravitationnel, Ann. Inst. Henri, vol.20, pp.315-364, 1974.

S. Sternberg, On the role of field theories in our physical conception of geometry, Proc. 2nd Bonn Conf. Diff. Geom. Meths. in Math. Phys, pp.1-80, 1978.
DOI : 10.1007/BFb0063665

B. A. Van-tiggelen, Transverse Diffusion of Light in Faraday-Active Media, Physical Review Letters, vol.75, issue.3, pp.422-424, 1995.
DOI : 10.1103/PhysRevLett.75.422