A. A. Agrachev, Exponential mappings for contact sub-Riemannian structures, Journal of Dynamical and Control Systems, vol.113, issue.3, pp.321-358, 1996.
DOI : 10.1007/BF02269423

A. A. Agrachev, Any sub-Riemannian metric has points of smoothness, Doklady Mathematics, vol.79, issue.1, pp.295-298, 2009.
DOI : 10.1134/S106456240901013X

A. A. Agrachev, D. Barilari, and U. Boscain, Introduction to Riemannian and sub-Riemannian geometry (Lecture Notes)

A. A. Agrachev, D. Barilari, and L. Rizzi, Curvature, Memoirs of the AMS, 2013.
DOI : 10.1007/978-3-662-06404-7_23

URL : https://hal.archives-ouvertes.fr/hal-00838195

A. A. Agrachev and R. V. Gamkrelidze, Feedback-invariant optimal control theory and differential geometry???I. Regular extremals, Journal of Dynamical and Control Systems, vol.29, issue.3, pp.343-389, 1997.
DOI : 10.1007/BF02463256

A. A. Agrachev and P. W. Lee, Generalized Ricci curvature bounds for three dimensional contact subriemannian manifolds, Mathematische Annalen, vol.259, issue.1, pp.209-253, 2014.
DOI : 10.1007/s00208-014-1034-6

A. A. Agrachev, L. Rizzi, and P. Silveira, On Conjugate Times of LQ Optimal Control Problems, Journal of Dynamical and Control Systems, vol.58, issue.1, pp.1-17, 2014.
DOI : 10.1007/s10883-014-9251-6

URL : https://hal.archives-ouvertes.fr/hal-01096715

A. A. Agrachev and I. Zelenko, Geometry of Jacobi curves. I, Journal of Dynamical and Control Systems, vol.8, issue.1, pp.93-140, 2002.
DOI : 10.1023/A:1013904801414

D. Barilari and L. Rizzi, Comparison theorems for conjugate points in sub-Riemannian geometry. ESAIM: Control, Optimisation and Calculus of Variations, p.2015
URL : https://hal.archives-ouvertes.fr/hal-00931840

D. Barilari and L. Rizzi, On Jacobi fields and canonical connection in sub-Riemannian geometry. ArXiv e-prints, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01160902

F. Baudoin and N. Garofalo, Curvature-dimension inequalities and Ricci lower bounds for sub-Riemannian manifolds with transverse symmetries, Journal of the European Mathematical Society, vol.19, issue.1, 2011.
DOI : 10.4171/JEMS/663

F. Baudoin, B. Kim, and J. Wang, Transverse Weitzenböck formulas and curvature dimension inequalities on Riemannian foliations with totally geodesic leaves, Comm. Anal. Geom, 2014.

F. Baudoin and J. Wang, Curvature Dimension Inequalities and Subelliptic Heat Kernel Gradient Bounds on Contact Manifolds, Potential Analysis, vol.314, issue.1, pp.163-193, 2014.
DOI : 10.1007/s11118-013-9345-x

D. E. Blair, Riemannian geometry of contact and symplectic manifolds, Progress in Mathematics, vol.203, 2010.

W. Chow, Über Systeme von linearen partiellen Differentialgleichungen erster Ordnung, Math. Ann, vol.117, pp.98-105, 1939.
DOI : 10.1142/9789812776921_0005

M. Falcitelli, S. Ianus, and A. M. Pastore, Riemannian submersions and related topics, 2004.
DOI : 10.1142/9789812562333

W. K. Hughen, The sub-Riemannian geometry of three-manifolds, Thesis (Ph.D.)?Duke University, 1995.

P. W. Lee and C. Li, Bishop and Laplacian comparison theorems on Sasakian manifolds. ArXiv e-prints, 2013.

P. W. Lee, C. Li, and I. Zelenko, Ricci curvature type lower bounds for sub-Riemannian structures on Sasakian manifolds, Discrete and Continuous Dynamical Systems, vol.36, issue.1, pp.303-321, 2016.
DOI : 10.3934/dcds.2016.36.303

C. Li and I. Zelenko, Jacobi equations and Comparison Theorems for corank 1 sub-Riemannian structures with symmetries, Journal of Geometry and Physics, vol.61, issue.4, pp.781-807, 2011.
DOI : 10.1016/j.geomphys.2010.12.009

L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, and E. F. Mishchenko, The mathematical theory of optimal processes. Translated from the Russian by K. N. Trirogoff, 1962.

P. Rashevsky, Any two points of a totally nonholonomic space may be connected by an admissible line, Uch. Zap. Ped Inst. im. Liebknechta, vol.2, pp.83-84, 1938.

L. Rifford, Sub-Riemannian geometry and optimal transport
DOI : 10.1007/978-3-319-04804-8

URL : https://hal.archives-ouvertes.fr/hal-01131787

L. Rifford and E. Trélat, Morse-Sard type results in sub-Riemannian geometry, Mathematische Annalen, vol.6, issue.1, pp.145-159, 2005.
DOI : 10.1007/s00208-004-0622-2

URL : https://hal.archives-ouvertes.fr/hal-00086340

L. Rizzi, Measure contraction properties of Carnot groups. ArXiv e-prints, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01218376

L. Rizzi and P. Silveira, Sub-Riemannian Ricci curvatures and universal diameter bounds for 3-Sasakian manifolds. ArXiv e-prints, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01221661

M. Rumin, Formes diff??rentielles sur les vari??t??s de contact, Journal of Differential Geometry, vol.39, issue.2, pp.281-330, 1994.
DOI : 10.4310/jdg/1214454873

S. Tanno, Variational problems on contact Riemannian manifolds, Transactions of the American Mathematical Society, vol.314, issue.1, pp.349-379, 1989.
DOI : 10.1090/S0002-9947-1989-1000553-9

I. Zelenko and C. Li, Differential geometry of curves in Lagrange Grassmannians with given Young diagram, Differential Geometry and its Applications, vol.27, issue.6, pp.723-742, 2009.
DOI : 10.1016/j.difgeo.2009.07.002