Report on the sub-riemannian spheres;À propos des sphères sous-riemanniennes

Bulletin of the Belgian Mathematical Society - Simon Stevin

Volumn 13, Issue 3, 2006, Pages 521-526

  Rifford, L ^a  

^a UNIVERSITÉ PARIS SACLAY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33947597663     PISSN: 13701444     EISSN: None     Source Type: Journal    
DOI: 10.36045/bbms/1161350693     Document Type: Article

References (7)

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2. P. Cannarsa and L. Rifford. Semiconcavity of the value function for a class of optimal control problems with nonshigular minimizing controls. En préparation.
3. F.H. Clarke, Yu.S. Ledyaev, R.J. Stern, and P.R. Wolenski. Nonnmooth Analysis and Control Theory. Graduate Texts in Mathematics, vol. 178, Springer-Verlag, New York, 1998.
4. I. Kupka. Géométrie sous-riemannienne. Anté erisque, (241) :Exp. No. 817, 5, 351- 380, 1997. Séminaire Bourbaki, Vol. 1995/96.
5. R. Montgomery, A tour of sub-Riemannian geometries, their geodesies and applications, Math. Surveys and Monographs 91, American Math. Soc., Providence, 2002.
6. L. Rifford. A Morse-Sard theorem for the distance function on Riemannian manifolds. Manuscripta Math., 113 :251-265, 2004.
7. E. Tyélat. Some properties of the value function and its level sets for affine control systems with quadratic cost. J. Dynam. Control Syntems. 6(4) :511 541, 2000.