@article{TSG_2001-2002__20__131_0, author = {Gr\'egoire Charlot}, title = {M\'etriques sous-riemanniennes de quasi-contact : forme normale et caustique}, journal = {S\'eminaire de th\'eorie spectrale et g\'eom\'etrie}, pages = {131--137}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {20}, year = {2001-2002}, doi = {10.5802/tsg.328}, zbl = {1035.53037}, mrnumber = {1987638}, language = {fr}, url = {https://proceedings.centre-mersenne.org/articles/10.5802/tsg.328/} }
TY - JOUR AU - Grégoire Charlot TI - Métriques sous-riemanniennes de quasi-contact : forme normale et caustique JO - Séminaire de théorie spectrale et géométrie PY - 2001-2002 SP - 131 EP - 137 VL - 20 PB - Institut Fourier PP - Grenoble UR - https://proceedings.centre-mersenne.org/articles/10.5802/tsg.328/ DO - 10.5802/tsg.328 LA - fr ID - TSG_2001-2002__20__131_0 ER -
%0 Journal Article %A Grégoire Charlot %T Métriques sous-riemanniennes de quasi-contact : forme normale et caustique %J Séminaire de théorie spectrale et géométrie %D 2001-2002 %P 131-137 %V 20 %I Institut Fourier %C Grenoble %U https://proceedings.centre-mersenne.org/articles/10.5802/tsg.328/ %R 10.5802/tsg.328 %G fr %F TSG_2001-2002__20__131_0
Grégoire Charlot. Métriques sous-riemanniennes de quasi-contact : forme normale et caustique. Séminaire de théorie spectrale et géométrie, Volume 20 (2001-2002), pp. 131-137. doi : 10.5802/tsg.328. https://proceedings.centre-mersenne.org/articles/10.5802/tsg.328/
[1] A.A. Agrachev, H. Chakir, J.P. Gauthier, Sub-Riemannian metrics on R3, Proceedings of Canadian Math. Soc. Vol. 25 ( 1998), 29-77. | Zbl
[2] A.A. Agrachev, H. Chakir, J.P. Gauthier, I. Kupka, Generic singularities of sub-Riemannian metrics on R3, Comptes Rendus à l'Académie des Sciences, Vol 322, série 1 ( 1996), 377-384. | MR | Zbl
[3] A.A. Agrachev, G. Charlot, J.P. Gauthier, V.M. Zakalyukin, On sub-Riemannian caustics and wave fronts, for contact distributions in the three space, J. Dynam. Control Systems 6, n° 3 ( 2000), 365-395. | MR | Zbl
[4] A.A. Agrachev, G. Charlot, J-Pa. Gauthier, V.M. Zakalyukin, On stabilityof generic subriemannien caustic in the three-space, C.R.A.S. Paris, t. 330,Série I ( 2000), 465-470. | MR | Zbl
[5] A A. Agrachev, J.P. Gauthier, Sub-Riemannian metrics and isoperimetric problems in the contact case, Contemporary Math., Tome 64, pp. 5-48, 1999 (in russian) or Journal of Math. Sciences, vol 103 n° 6, pp. 639-663, march 2001. | MR | Zbl
[6] A.A. Agrachev, J.P. Gauthier, On Subanalyticity of Carnot-Carathodory Distances, Annales de l'I.H.R, Vol 18, analyse non linéaire ( 2001), 359-382. | Numdam | MR | Zbl
[7] A.A. Agrachev, A.V. Sarychev, Sub-Riemannian metrics: minimality of abnormal geodesics versus subanaliticity. J. ESAJM: Control, Optimization and Calculus of Variations, Vol. 2 ( 1997), 377-448. | Numdam | MR | Zbl
[8] V. Arnold, A. Varchenko, S. Goussein-Zadé, Singularités des applications différentiables, Ed. MIR, Moscow, French translation, 1986.
[9] A. Bellaïche, The tangent space in sub-Riemannian geometry, in "Sub-Riemannian Geometry", edited by A. Bellaï che and J-J.Risler, Progress in Mathematics, Birkhäuser. | MR | Zbl
[10] H. Chakir. J.P. Gauthier, I. Kupka, Small sub-Riemannian balls on R3, Journal of Dynamical and Control Systems, Vol. 2, n° 3 (sept. 1996). 359-421. | MR | Zbl
[11] G. Charlot, Quasi-contact S-R metrics: normal form in R2n, wave front and caustic in R4, à paraître dans Acta Applicandae Mathematicae. | Zbl
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