A. Agrachev, Compactness for sub-Riemannian length minimizers and subanalyticity, Rend. Semin. Mat. Torino, vol.56, 1998.

A. Agrachev and J. Gauthier, On the subanalyticity of Carnot???Caratheodory distances, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol.18, issue.3, 2001.
DOI : 10.1016/S0294-1449(00)00064-0

A. Agrachev and Y. Sachkov, Control Theory from the Geometric Viewpoint, Encyclopaedia of Mathematical Sciences, vol.87, 2004.
DOI : 10.1007/978-3-662-06404-7

A. Agrachev and A. Sarychev, Strong minimality of abnormal geodesics for 2-distributions, Journal of Dynamical and Control Systems, vol.113, issue.2, 1995.
DOI : 10.1007/BF02254637

A. Agrachev and A. Sarychev, Abnormal sub-Riemannian geodesics: Morse index and rigidity, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol.13, issue.6, 1996.
DOI : 10.1016/S0294-1449(16)30118-4

URL : http://doi.org/10.1016/s0294-1449(16)30118-4

A. Agrachev and A. Sarychev, Sub-Riemannian Metrics: Minimality of Abnormal Geodesics versus Subanalyticity, ESAIM: Control, Optimisation and Calculus of Variations, vol.4, 1999.
DOI : 10.1051/cocv:1999114

A. Bella¨?chebella¨?che, Tangent space in sub-Riemannian geometry, Sub-Riemannian geometry, 1996.

J. Bismut, Large deviations and the Malliavin calculus, Progress in Mathematics, vol.45, 1984.

G. A. Bliss, Lectures on the calculus of variations, 1946.

B. Bonnard and H. Heutte, La propriété de stricte anormalité est générique, 1995.

B. Bonnard and I. Kupka, Generic properties of singular trajectories, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol.14, issue.2, 1997.
DOI : 10.1016/S0294-1449(97)80143-6

R. L. Bryant and L. Hsu, Rigidity of integral curves of rank 2 distributions, Inventiones Mathematicae, vol.30, issue.no. 1127, 1993.
DOI : 10.1007/BF01232676

Y. Chitour, F. Jean, and E. Trélat, Propri??t??s g??n??riques des trajectoires singuli??res, Comptes Rendus Mathematique, vol.337, issue.1, pp.49-52, 2003.
DOI : 10.1016/S1631-073X(03)00252-8

M. Christ, Analytic hypoellipticity breaks down for weakly pseudoconvex Reinhardt domains, Internat. Math. Res. Notices, vol.3, pp.31-40, 1991.

M. Christ and D. Geller, Counterexamples to Analytic Hypoellipticity for Domains of Finite Type, The Annals of Mathematics, vol.135, issue.3, pp.551-566, 1992.
DOI : 10.2307/2946576

B. Gaveau, Principe de moindre action, propagation de la chaleur et estimées souselliptiques sur certains groupes nilpotents, Acta Math, pp.94-153, 1977.
DOI : 10.1007/bf02392235

P. A. Griffiths, Exterior Differential Systems and the Calculus of Variations, Progr ? Math, vol.25, 1983.
DOI : 10.1007/978-1-4615-8166-6

U. Hamenstädt, Some regularity theorems for Carnot-Carath??odory metrics, Journal of Differential Geometry, vol.32, issue.3, pp.819-850, 1990.
DOI : 10.4310/jdg/1214445536

R. M. Hardt, Stratification of real analytic mappings and images, Inventiones Mathematicae, vol.7, issue.2, 1975.
DOI : 10.1007/BF01436073

H. Hironaka, Subanalytic sets, Number theory, algebraic geometry and commutative algebra, honor of Y. Akizuki, 1973.

L. Hsu, Calculus of variations via the Griffiths formalism, Journal of Differential Geometry, vol.36, issue.3, 1992.
DOI : 10.4310/jdg/1214453181

B. Jakubczyk and M. Zhitomirskii, Distributions of corank 1 and their characteristic vector fields, preprint, 2003.

W. S. Liu and H. J. Sussmann, Shortest paths for sub-Riemannian metrics on rank-two distributions, Memoirs of the American Mathematical Society, vol.118, issue.564, 1995.
DOI : 10.1090/memo/0564

R. Montgomery, Abnormal Minimizers, SIAM Journal on Control and Optimization, vol.32, issue.6, 1994.
DOI : 10.1137/S0363012993244945

R. Montgomery, A survey of singular curves in sub-Riemannian geometry, Journal of Dynamical and Control Systems, vol.24, issue.No. 2, 1995.
DOI : 10.1007/BF02254656

R. Montgomery, A tour of sub-Riemannian geometries, their geodesics and applications , Math. Surveys and Monographs 91, 2002.

P. Pansu, Metriques de Carnot-Caratheodory et Quasiisometries des Espaces Symetriques de rang un, The Annals of Mathematics, vol.129, issue.1, pp.1-60, 1989.
DOI : 10.2307/1971484

L. Pontryagin, V. Boltyanskii, R. Gamkrelidze, and E. Mischenko, The mathematical theory of optimal processes, 1962.

W. Rudin, Real and complex analysis, 1966.

R. Strichartz, J. Sub-riemannian-geometry, . Diff, and . Geom, Corrections to: ``Sub-Riemannian geometry'', Journal of Differential Geometry, vol.30, issue.2, pp.221-263, 1986.
DOI : 10.4310/jdg/1214443604

F. Treves, Analytic hypo-ellipticity of a class of pseudodifferential operators with double characteristics and applications to the -neumann problem, Communications in Partial Differential Equations, vol.217, issue.6-7, pp.475-642, 1978.
DOI : 10.1080/03605307808820074

L. C. Young, Lectures on the calculus of variations and optimal control theory, 1980.

Z. Ge, Horizontal path spaces and Carnot-Carath??odory metrics, Pacific Journal of Mathematics, vol.161, issue.2, pp.255-286, 1993.
DOI : 10.2140/pjm.1993.161.255