@incollection{SB_1995-1996__38__351_0, author = {Kupka, Ivan}, title = {G\'eom\'etrie sous-riemannienne}, booktitle = {S\'eminaire Bourbaki : volume 1995/96, expos\'es 805-819}, author = {Collectif}, series = {Ast\'erisque}, note = {talk:817}, publisher = {Soci\'et\'e math\'ematique de France}, number = {241}, year = {1997}, zbl = {0893.53013}, mrnumber = {1472545}, language = {fr}, url = {archive.numdam.org/item/SB_1995-1996__38__351_0/} }
Kupka, Ivan. Géométrie sous-riemannienne, dans Séminaire Bourbaki : volume 1995/96, exposés 805-819, Astérisque, no. 241 (1997), Exposé no. 817, 30 p. http://archive.numdam.org/item/SB_1995-1996__38__351_0/
[Ag] Methods of control theory in non-holonomic geometry, Proceedings ICM-94, Zürich, Birkhäuser. | MR 1404051 | Zbl 0848.93012
-[Ag1] Any smooth simple H1-local length minimizer in the Carnot-Caratheodory space is a C0-local length minimizer, preprint, Dijon, juin 1996.
-[A-S1] Strong minimality of abnormal geodesics for 2-distributions, Journal of Dynamical Systems and Control Systems 1, n° 2 (1995), 139-176. | Article | MR 1333769 | Zbl 0951.53029
et -[A-S2] Abnormal sub-riemannian geodesics : Morse index and rigidity, à paraître dans les Annales I.H.P. | EuDML 78396 | Numdam | MR 1420493 | Zbl 0866.58023
et -[B-G-G1] The Green function for a model twostep hypoelliptic operator and the analysis of certain tangential Cauchy-Riemann complexes, preprint (1995). | MR 1402729 | Zbl 0858.43009
, et -[B-G-G2] Subelliptic geometry, preprint (1995). | MR 1486587 | Zbl 0895.35006
, et -[B-G-G3] | MR 1409074 | Zbl 0864.35005
, et - On a geometric formula for the fundamental solution of subelliptic laplacians, preprint (1995).[B-G-G4] | MR 1431098 | Zbl 0886.35003
, et - Complex Hamiltonian mechanisms and parametrics for subelliptic laplacians, preprint (1995).[Bell] The tangent space in sub-riemannian geometry, dans "Journées non holonomes", A. Bellaïche-J.-J. Risler eds, Birkhäuser, Progress in Math., vol. 144 (1996), 1-78. | MR 1421822 | Zbl 0862.53031
-[Ben] Développement du noyau de la chaleur sur la diagonale, Annales Inst. Four. 39 (1) (1989), 73-99. | Article | EuDML 74830 | Numdam | MR 1011978 | Zbl 0659.35024
-[B-L] Décroissance exponentielle du noyau de la chaleur sur la diagonale, Prob. Theory Relat. Fields. Part. I : 90 (1991), 175-202 ; Part. II : 90 (1991), 377-402. | Article | MR 1133372 | Zbl 0734.60027
et -[Bi] Large deviations and the Malliavin calculus, Birkhäuser, Progress in Math., vol. 45 (1984). | MR 755001 | Zbl 0537.35003
-[B-H] Rigidity of integral curves of rank 2 distributions, Invent. Math. 114 (1993), 435-461. | Article | EuDML 144154 | MR 1240644 | Zbl 0807.58007
et -[B-Z] Geometric inequalities, Springer GdMW Bd 285 (1988). | MR 936419 | Zbl 0633.53002
et -[C-K-S] Upper bounds for symmetric Markov transition functions, Ann. Inst. Henri Poincaré, Probabilité et Statistique, supp. au n° 2 (1987), 245-287. | EuDML 77309 | Numdam | MR 898496 | Zbl 0634.60066
, et -[E-G-K] Small sub-riemannian balls in R3, Journal of Dynamical and Control Systems, vol. 2, n° 3, July 1996, 359-421. | Article | MR 1403263 | Zbl 0941.53024
, et -[Fa-G] On contact symmetric sub-riemannian spaces, Annales Scient. E.N.S. 28 (1995), 571-589. | EuDML 82395 | Numdam | MR 1341662 | Zbl 0836.53032
et -[Fa-G-R] On the holonomy of sub-riemannian spaces, preprint (1995). | MR 1454476
, et -[F-P] Subelliptic eigenvalue problems, dans Proceedings Conference on Harmonie analysis in honor of Antony Zygmund, Math. Ser., Wadsworth, Belmont CA, 590-606. | MR 730094 | Zbl 0503.35071
et -[F-S] Fundamental solutions of second order subelliptic operators, Ann. of Math. 124 (1986), 247-272. | Article | MR 855295 | Zbl 0613.35002
et -[Fl-L] Décroissance non-exponentielle du noyau de la chaleur, Prob. Theory Relat. Fields 95 (1993), 237-262. | Article | MR 1214089 | Zbl 0791.60039
et -[Ga1] Principe de moindre action ; propagation de la chaleur et estimées sous-elliptiques sur certains groupes nilpotents, Acta Math. 139 (1977), 95-153. | Article | MR 461589 | Zbl 0366.22010
-[Ga2] Systèmes dynamiques associés à certains opérateurs hypoelliptiques, Bulletin Sci. Math., 2ème série, 102 (1978), 203-229. | MR 509102 | Zbl 0391.35019
-[Go1] Nilpotent Lie groups : structure and applications to analysis, Springer LNM 562 (1976). | MR 442149 | Zbl 0347.22001
-[Go2] Lifting vector fields to nilpotent Lie groups, Journ. Math. Pures et Appl. 57 (1978), 77-86. | MR 494316 | Zbl 0336.57015
-[Gr1] Carnot-Caratheodory spaces seen from within, dans le même volume que [Bell], 79-323. | MR 1421823 | Zbl 0864.53025
-[Gr2] Partial differential relations, Springer Ergebnisse der Mathematik und ihrer Grenzgebiete 3, Folge, Band 9 (1986). | MR 864505 | Zbl 0651.53001
-[G-L-P] Structures métriques pour les variétés riemanniennes, Cedic-Fernand Nathan (1981). | MR 682063 | Zbl 0509.53034
, et -[Ha] Some regularity theorems for Carnot-Caratheodory metrics, J. Diff. Geom. 32 (1991), 192-201. | MR 1078163 | Zbl 0687.53041
-[H-Le] Nagel, Stein, Wainger estimates for balls associated with the Bismut condition, preprint. | MR 1803422 | Zbl 1006.60047
et -[Hö1] Hypoelliptic second order differential equations, Acta Math. 119 (1967), 147-171. | Article | MR 222474 | Zbl 0156.10701
-[Hö2] Analysis of linear partial differential operators, III, Springer GdMW 274 (1985). | MR 781536 | Zbl 0601.35001
-[J-S1] Subelliptic second order differential operators, in Complex analysis III, Springer LNM 1277 (1987). | MR 922334 | Zbl 0634.35017
et -[J-S2] Estimates for the heat kernel for the sum of squares of vector fields, Indiana Univ. Math. Journ. 35 (1986), 835-854. | Article | MR 865430 | Zbl 0639.58026
et -[Le1] Volumes des boules sous-riemanniennes et explosion du noyau de la chaleur au sens de Stein, Séminaire de Probabilité XXIII, J. Azéma, J. Yor eds, Springer LNM 1372 (1990), 426-448. | Article | EuDML 113693 | Numdam | MR 1022930 | Zbl 0764.60053
-[Le2] Développement asymptotique de la densité d'une diffusion dégénérée, Forum Math. 4 (1992), 45-75. | Article | EuDML 141663 | MR 1142473 | Zbl 0749.60054
-[Le3] Applications quantitatives et géométriques du calcul de Malliavin, Stochastic Analysis, G. Métivier, S. Watanabe eds, Springer LNM 1322 (1988), 109-133. | Article | MR 962867 | Zbl 0666.60014
-[L-S] Shortest paths for sub-riemannian metrics on rank 2 distributions, Mem. A.M.S., n° 564, Vol. 118, november 1995. | MR 1303093 | Zbl 0843.53038
et -[M] Stochastic calculus of variations and hypoelliptic operators, Proc. Intern. Symp. S.D.E. Kyoto, 1976, K. Itô edt., 195-263, Kinokuniya, Tokyo, 1978. | MR 536013 | Zbl 0411.60060
-[Ma] Geometry of sets and measures in euclidean spaces : fractals and rectifiability, Cambridge studies in advanced mathematics, vol. 44, Cambridge University Press (1995). | MR 1333890 | Zbl 0819.28004
-[Me] Fonction spectrale et valeurs propres d'une classe d'opérateurs non-elliptiques, Comm. Partial Differential Equations 1 (1976), 467-519. | Article | EuDML 92958 | Numdam | MR 427858 | Zbl 0376.35012
-[Mi] On Carnot-Caratheodory metrics, Jour. Diff. Geom. 21 (1985), 35-45. | Article | MR 806700 | Zbl 0554.53023
-[Mo] Diffusion processes and riemannian geometry, Russian Math. Surveys 30 (1975), 1-63. | Article | MR 413289 | Zbl 0315.53026
-[Mon] A survey of singular curves in sub-riemannian geometry, Journal of Dynamical and Control Systems, vol. 1, n° 1 (1995), 49-90. | Article | MR 1319057 | Zbl 0941.53021
-[Mu] Distances sous-elliptiques et puissances d'opérateurs différentiels, Ark. för Math. 34 (1996), 159-177. | Article | MR 1396629 | Zbl 0953.35037
-[M-V] Comparaison höldérienne des distances sous-elliptiques et calcul , Potential Analysis 4 (1995), 415-428. | Article | MR 1354893 | Zbl 0840.35129
et -[N-S-W] Balls and metrics defined by vector fields I : basic properties, Acta Math. 155 (1985), 103-147. | Article | MR 793239 | Zbl 0578.32044
, et -[O-R] Second order equations with non-negative characteristic form, A.M.S. (1973). | MR 457908 | Zbl 0217.41502
et -[P] Métriques de Carnot-Caratheodory et quasi-isométries des espaces symétriques de rang un, Ann. of Math. 129:1 (1989), 1-61. | Article | MR 979599 | Zbl 0678.53042
-[R] Un complexe de formes différentielles sur les variétés de contact, C.R.A.S. t. 310 (1990), 401-404. | MR 1046521 | Zbl 0694.57010
-[S] Fundamental solutions and geometry of the sums of squares of vector fields, Invent. Math. 78 (1984), 143-160. | Article | EuDML 143171 | MR 762360 | Zbl 0582.58004
-[Ste] Singular integrals and differentiability properties of functions, Princeton Univ. Press (1970). | MR 290095 | Zbl 0207.13501
-[Str] Sub-riemannian geometry, Jour. Diff. Geometry 24 (1986), 221-263. | Article | MR 862049 | Zbl 0609.53021
-[Th] Remarques sur les problèmes comportant des inégalités différentielles globales, Bull. Soc. Math. France 87 (1959), 455-461. | Article | EuDML 86977 | Numdam | MR 121807 | Zbl 0213.25302
-[Va1] Small time Gaussian estimates of heat diffusion kernels, II : the theory of large derivations, Jour. Funct. Analysis 93 (1990), 1-33. | Article | MR 1070036 | Zbl 0712.58056
-[Va2] Opérateurs sous-elliptiques du second ordre, C.R.A.S., t. 308, Série I (1989), 437-440. | MR 991877 | Zbl 0699.35054
-[V-S-C] Analysis and geometry on groups, Cambridge Univ. Press (1993). | Article | MR 1218884 | Zbl 1179.22009
, et -[V-G] Non-holonomic problems and the theory of distributions, Acta Appl. Math. 12 (1988), 181-209. | Article | MR 966452 | Zbl 0666.58004
et -