@incollection{SB_1993-1994__36__309_0, author = {Laudenbach, Fran\c{c}ois}, title = {Orbites p\'eriodiques et courbes pseudo-holomorphes. {Application} \`a la conjecture de {Weinstein} en dimension $3$}, booktitle = {S\'eminaire Bourbaki : volume 1993/94, expos\'es 775-789}, series = {Ast\'erisque}, note = {talk:786}, pages = {309--333}, publisher = {Soci\'et\'e math\'ematique de France}, number = {227}, year = {1995}, mrnumber = {1321652}, zbl = {0853.57013}, language = {fr}, url = {http://www.numdam.org/item/SB_1993-1994__36__309_0/} }
TY - CHAP AU - Laudenbach, François TI - Orbites périodiques et courbes pseudo-holomorphes. Application à la conjecture de Weinstein en dimension $3$ BT - Séminaire Bourbaki : volume 1993/94, exposés 775-789 AU - Collectif T3 - Astérisque N1 - talk:786 PY - 1995 SP - 309 EP - 333 IS - 227 PB - Société mathématique de France UR - http://www.numdam.org/item/SB_1993-1994__36__309_0/ LA - fr ID - SB_1993-1994__36__309_0 ER -
%0 Book Section %A Laudenbach, François %T Orbites périodiques et courbes pseudo-holomorphes. Application à la conjecture de Weinstein en dimension $3$ %B Séminaire Bourbaki : volume 1993/94, exposés 775-789 %A Collectif %S Astérisque %Z talk:786 %D 1995 %P 309-333 %N 227 %I Société mathématique de France %U http://www.numdam.org/item/SB_1993-1994__36__309_0/ %G fr %F SB_1993-1994__36__309_0
Laudenbach, François. Orbites périodiques et courbes pseudo-holomorphes. Application à la conjecture de Weinstein en dimension $3$, dans Séminaire Bourbaki : volume 1993/94, exposés 775-789, Astérisque, no. 227 (1995), Exposé no. 786, 25 p. http://www.numdam.org/item/SB_1993-1994__36__309_0/
[AL] Holomorphic curves in symplectic geometry, Birkhäuser, 1994. | MR | Zbl
, , eds.,[Be1] Entrelacements et équations de Pfaff, Astérisque 103-108 (1983), 83-161. | Numdam | MR | Zbl
,[Be2] Caustique mystique [d'après Arnold et al.], Sém. Bourbaki, Astérisque 133-134 (1986), 19-56. | EuDML | Numdam | MR | Zbl
,[Be3] Problèmes elliptiques, surfaces de Riemann et structures symplectiques [d'après M. Gromov], Sém. Bourbaki, Astérisque 145- 146 (1987), 111-136. | EuDML | Numdam | MR | Zbl
,[BG] Envelopes of holomorphy of certain -spheres in , Amer. J. of Math. 105 (1983), 975-1009. | DOI | MR | Zbl
, ,[Ber] Solutions périodiques de systèmes hamiltoniens, Sém. Bourbaki, Astérisque 105-106 (1983), 105-128. | EuDML | Numdam | MR | Zbl
,[Bers] An outline of the theory of pseudo-analytic functions, Bull. Amer. Math. Soc. 62 (1956), 291-331. | MR | Zbl
,[Bi] Differentiable manifolds in complex Euclidian space, Duke Math. J. | MR | Zbl
,[El1] Classification of overtwisted contact structures on 3- manifolds, Invent. Math. 98 (1989), 623-637. | MR | Zbl
,[El2] Filling by holomorphic discs and its applications, London Math. Soc. Lect. Notes Ser. 151 (1991), 45-67. | MR | Zbl
,[El3] Contact 3-manifolds, twenty years since J. Martinet's work, Ann. Inst. Fourier 42 (1992), 165-192. | Numdam | MR | Zbl
,[Ga] The canonical almost complex structure on the manifold of 1-jets of pseudo-holomorphic mappings between two almost complex manidolds, p. 69-74 in [AL].
,[Gi1] Convexité en topologie de contact, Comment. Math. Helv. 66 (1991), 637-677. | MR | Zbl
,[Gi2] Topologie de contact en dimension trois [autour de travaux de Yakov Eliashberg], Sém. Bourbaki, Astérisque 216 (1993), 7-34. | Numdam | MR | Zbl
,[Gr] Pseudo holomorphic curves in symplectic manifolds, Invent. math. 82 (1985), 307-347. | MR | Zbl
,[Hed] Fuchsian groups and transitive horocycles, Duke Math. Journal 2 (1936), 530-542. | JFM | MR
,[Hem] 3-manifolds, Annals of Math. Studies, Princeton Univ. Press, 1976. | MR | Zbl
,[Her] Exemples de flots hamiltoniens dont aucune perturbation en topologie n'a d'orbites périodiques sur un ouvert de surfaces d'énergie, C. R. Acad. Sc. Paris série I Math. 312 (1991), 989-994. | Zbl
,[Ho] Pseudoholomorphic curves in symplectizations with applications to the Weinstein conjecture in dimension three, Invent. Math. 114 (1993), 515-563. | MR | Zbl
,[HV] The Weinstein conjecture in the presence of holomorphic spheres, Comm. Pure Appl. Math. 45 (1992), 583-622. | MR | Zbl
, ,[HW] communication orale.
, ,[Lab] communication orale.
,[LF] Variational problems on closed manifolds, Dokl. Akad. Nauk SSSR 81 (1951), 17-18. | MR | Zbl
, ,[Ma] Formes de contact sur les variétés de dimension trois, p. 142-163 in Proceedings of Liverpool Singularities Symposium II, L.N.M. 209, Springer, 1971. | MR | Zbl
,[Mc1] The structure of rational and ruled symplectic 4-manifolds, J. of AMS 3 (1990), 672-712. | MR | Zbl
,[Mc2] The local behaviour of holomorphic curves in almost complex 4-manifolds, J. of Diff. Geo. 34 (1991), 143-164. | MR | Zbl
,[Mc3] Symplectic manifolds with contact type boundaries, Invent. math. 103 (1991), 651-671. | MR | Zbl
,[Mc4] Singularities and positivity of intersections of J-holomorphic curves, p. 191-215 in [AL]. | MR
,[Mi] On the -dimensional Brieskorn manifolds , p. 175-225 in : Knots, groups and -manifolds, (papers dedicated to the memory of R.H. Fox, ed. by L. Neuwirth, Annals of Math. Studies 84, Princeton Univ. Press, 1975. | MR | Zbl
,[Mu] Gromov's Schwarz lemma as an estimate of the gradient for holomorphic curves, p. 217-231 in [AL]. | MR
,[MW] The structure of branch points in minimal surfaces and pseudoholomorphic curves, preprint 1994.
, ,[Pa] Compactness, p. 233-249 in [AL]. | MR
,[Ra] Periodic solutions of Hamiltonian systems, Comm. Pure Appl. Math. 31 (1978), 157-184. | DOI | MR | Zbl
,[Si] Some properties of holomorphic curves in almost complex manifolds, p. 165-189 in [AL]. | MR
,[SU] The existence of minimal immersions of two spheres, Ann. of Math. 113 (1981), 1-24. | DOI | MR | Zbl
, ,[Ve] Generalized analytical functions, Pergamon, London, 1962. | MR
,[Vi] A proof of the Weinstein conjecture in , Ann. Inst. Henri Poincaré, Analyse non linéaire 4 (1987), 337-357. | DOI | EuDML | Numdam | MR | Zbl
,[We] On the hypotheses of Rabinowitz's periodic orbit theorems, J. Diff. Eq. 33 (1979), 353-358. | DOI | MR | Zbl
,