V. I. Arnold, The cohomology ring of the group of dyed braids, Mat. Zametki, vol.5, pp.227-231, 1969.

I. K. Babenko, PERIODIC TRAJECTORIES IN THREE-DIMENSIONAL BIRKHOFF BILLIARDS, Mathematics of the USSR-Sbornik, vol.71, issue.1, pp.181-1155, 1990.
DOI : 10.1070/SM1992v071n01ABEH001273

V. Bangert, Closed geodesics on complete surfaces Mather sets for twist maps and geodesics on tori, Math. Ann. Dynamics reported Dynam. Report. Ser. Dynam. Systems Appl, vol.251, issue.1, pp.83-96, 1980.

G. D. Birkhoff, On the periodic motions of dynamical systems, Acta Mathematica, vol.50, issue.0, pp.359-379, 1927.
DOI : 10.1007/BF02421325

V. Bangert and W. Klingenberg, HOMOLOGY GENERATED BY ITERATED CLOSED GEODESICS, Topology, vol.22, issue.4, pp.379-388, 1983.
DOI : 10.1142/9789812812797_0033

R. Bott, On the iteration of closed geodesics and the sturm intersection theory, Communications on Pure and Applied Mathematics, vol.20, issue.2, pp.171-206, 1956.
DOI : 10.1002/cpa.3160090204

K. Chang, Infinite-dimensional Morse theory and multiple solution problems, Progress in Nonlinear Differential Equations and their Applications, 1993.
DOI : 10.1007/978-1-4612-0385-8

F. R. Cohen, Artin???s braid groups, classical homotopy theory, and sundry other curiosities, Contemp. Math, pp.167-206, 1986.
DOI : 10.1090/conm/078/975079

H. T. Croft and H. P. Swinnerton-dyer, On the Steinhaus billiard table problem, On the Steinhaus billiard table problem, pp.37-41, 1963.
DOI : 10.1017/S0305004100001961

M. Farber, Topology of billiard problems. I, II, Duke Math, J, vol.115, issue.3, pp.559-585, 2002.

M. Farber and S. Tabachnikov, Periodic trajectories in 3-dimensional convex billiards, manuscripta mathematica, vol.108, issue.4, pp.431-437, 2002.
DOI : 10.1007/s002290200273

D. Gromoll and W. Meyer, On differentiable functions with isolated critical points, Topology, vol.8, issue.4, pp.361-369, 1969.
DOI : 10.1016/0040-9383(69)90022-6

R. N. Karasev, Periodic Billiard Trajectories in Smooth Convex Bodies, Geometric and Functional Analysis, vol.180, issue.3, pp.423-428, 2009.
DOI : 10.1007/s00039-009-0009-3

V. V. Kozlov and D. V. Treshchëv, Billiards, a genetic introduction to the dynamics of systems with impacts, Translations of Mathematical Monographs, LL98] C. Liu and Y. Long, An optimal increasing estimate of the iterated Maslov-type indices, pp.43-1063, 1991.

Y. Long, Multiple periodic points of the Poincar?? map of Lagrangian systems on tori, Mathematische Zeitschrift, vol.233, issue.3, pp.443-470, 2000.
DOI : 10.1007/PL00004805

G. Lu, Index theory for symplectic paths with applications The Conley conjecture for Hamiltonian systems on the cotangent bundle and its analogue for Lagrangian systems, Progress in Mathematics J. Funct. Anal, vol.207, issue.256 9, pp.2967-3034, 2002.

M. Mazzucchelli, The Lagrangian Conley conjecture, Commentarii Mathematici Helvetici, vol.86, issue.1, pp.189-246, 2011.
DOI : 10.4171/CMH/222

URL : https://hal.archives-ouvertes.fr/ensl-01404041