F. Alouges, Y. Chitour, and R. Long, A motion planning algorithm for the rolling-body problem, IEEE Trans. on Robotics, vol.26, issue.5, pp.827-836, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00974885

A. Agrachev and Y. Sachkov, An Intrinsic Approach to the Control of Rolling Bodies, Proceedings of the Conference on Decision and Control, vol.1, pp.431-435, 1999.

A. Agrachev and Y. Sachkov, Control Theory from the Geometric Viewpoint, Encyclopaedia of Mathematical Sciences, vol.87, 2004.

A. Agrachev, Rolling balls and octonions, Proc. Steklov Inst. Math, vol.258, pp.13-22, 2007.

A. Bellaïche and J. J. Risler, Sub-Riemannian geometry, Progress in Mathematics, vol.144, 1996.

G. Bor and R. Montgomery, G 2 and the "Rolling Distribution, L'Ens. Math, issue.2, pp.157-196, 2009.

C. P. Boyer and K. Galicki, 3-Sasakian Manifolds, 1998.

R. Bryant and L. Hsu, Rigidity of integral curves of rank 2 distributions, Invent. Math, vol.114, issue.2, pp.435-461, 1993.

É. Cartan, Les systèmes de Pfaff, à cinq variables et les équations aux dérivées partielles du second ordre, Ann. Sci. École Norm. Super, vol.27, issue.3, pp.109-192, 1910.

S. A. Chaplygin, On some feasible generalization of the theorem of area, with an application to the problem of rolling spheres, English translation in Regul. Chaotic Dyn, vol.17, issue.2, pp.199-217, 2012.

S. A. Chaplygin, On the rolling of a sphere on a horizontal plane, English translation in Regul. Chaotic Dyn, vol.7, issue.2, pp.131-148, 2002.

A. Chelouah and Y. Chitour, On the controllability and trajectories generation of rolling surfaces, Forum Math, vol.15, pp.727-758, 2003.

Y. Chitour and P. Kokkonen, Rolling Manifolds: Intrinsic Formulation and Controllability, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00535711

Y. Chitour and P. Kokkonen, Rolling Manifolds on Space Forms, Ann. Inst. H. Poincaré Anal. Non Linéaire, vol.29, issue.6, pp.927-954, 2012.
URL : https://hal.archives-ouvertes.fr/hal-02320824

Y. Chitour and P. Kokkonen, Rolling Manifolds and Controllability: the 3D case

Y. Chitour, M. Godoy-molina, and P. Kokkonen, On the controllability of the rolling problem onto the hyperbolic n-space
URL : https://hal.archives-ouvertes.fr/hal-01271288

Y. Chitour, M. Godoy-molina, and P. Kokkonen, Rolling Cartan geometries

G. Molina, M. Grong, E. Markina, I. Silva-leite, and F. , An intrinsic formulation of the rolling manifolds problem, J. Dyn. Control Syst, vol.18, issue.2, pp.181-214, 2012.

G. Molina, M. Grong, and E. , Geometric conditions for the existence of an intrinsic rolling

V. Jurdjevic, The geometry of the plate-ball problem, Arch. Rat. Mech. Anal, vol.124, pp.305-328, 1993.

V. Jurdjevic and J. Zimmerman, Rolling sphere problems on spaces of constant curvature, Math. Proc. Camb. Phil. Soc, vol.144, p.729, 2008.

S. Kobayashi and K. Nomizu, Foundations of Differential Geometry, vol.I, 1996.

A. Marigo and A. Bicchi, Rolling bodies with regular surface: controllability theory and applications, IEEE Trans. Automat. Control, vol.45, issue.9, pp.1586-1599, 2000.

I. Markina and F. Silva-leite, An intrinsic formulation for rolling pseudo-Riemannian manifolds. To appear, J. Geom. Mech

R. Murray, Z. Li, and S. Sastry, A mathematical introduction to robotic manipulation, 1994.

D. An and P. Nurowski, Twistor space for rolling bodies

K. Nomizu, Kinematics and differential geometry of submanifolds, Tôhoku Math. Journ, vol.30, pp.623-637, 1978.

B. O'neill, Semi-Riemannian Geometry with Applications to Relativity, 1983.

T. Sakai, Riemannian Geometry, Translations of Mathematical Monographs, 149, 1996.

Y. L. Sachkov, Symmetries of flat rank two distributions and sub-Riemannian structures, Trans. Amer. Math. Soc, vol.356, issue.2, pp.457-494, 2004.

R. W. Sharpe, Differential Geometry: Cartan's Generalization of Klein's Erlangen Program, Graduate Texts in Mathematics, vol.166, 1997.

I. Zelenko, On variational approach to differential invariants of rank two distributions, Differential Geom. Appl, vol.24, issue.3, pp.235-259, 2006.

I. Zelenko, Fundamental form and the Cartan tensor of (2, 5)-distributions coincide, J. Dyn. Control Syst, vol.12, issue.2, pp.247-276, 2006.

U. L2s, X. I. Paris-sud, . Supélec, and . Gif-sur-yvette, E-mail address: yacine.chitour@lss.supelec.fr L2S, CNRS and Supélec, vol.70211