Tight contact structures on solid tori

Transactions of the American Mathematical Society

Volumn 350, Issue 3, 1998, Pages 1013-1044

  Makar Limanov, Sergei ^a  

^a UNIVERSITÉ DU QUÉBEC À MONTRÉAL   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21944440209     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9947-98-01822-4     Document Type: Article

References (17)

1. [A1] V. I. Arnold, Mathematical Methods of Classical Mechanics, MIR, Moscow, 1974.
2. [A2] V. I. Arnold, Geometrical Methods in the Theory of Ordinary Differential Equations, Nauka, Moscow, 1978.
3. [AG] V. I. Arnold, A. Givental, Symplectic Geometry, Dynamic Systems IV.
4. [A MR] R. Abraham, J. E. Marsden and T. Raitu, Manifolds, Tensor Analysis, and Applications, Springer-Verlag, New York, 1988. MR 89f:58001
5. [Be] D. Bennequin, Entrelacement et equations de Pfaff, Astérisque 107-108 (1983), 87-161. MR86e:58070
6. [El1] Ya. Eliashberg, Contact 3-Manifolds Twenty Years Since J. Martinet's Work, Ann. Inst Fourier (Grenoble) 42 (1992), 1-12. MR 93k:57029
7. [El2] Ya. Eliashberg, New Invariants of Open Symplectic and Contact Manifolds, J. Amer. Math. Soc. 4 (1991), 513-520. MR 92c:58030
8. [El3] Ya. Eliashberg, Classification of overtwisted contact structures on 3-manifolds, Invent. Math. 98 (1989), 623-637. MR 90k:53064
9. [El4] Ya. Eliashberg, Legendrian and transversal knots in tight contact 3-manifolds, Topological Methods in Modern Mathematics (1993), 171-193. MR 94e:57005
10. [Gi1] E. Giroux, Convexité en Topotogie Contact, Comment. Math. Helv. 66 (1991), 637-677. MR 93b:57029
11. [Gi2] E. Giroux, Une structure de contacte, même tendue, est plus ou moins tordue, Ann. Ecole Norm. Sup. 27 (1994), 697-705. MR 96b:57034
12. [Gi3] E. Giroux, Classification of tight contact structures on a three-torus, to appear.
13. [Gr] J. W. Gray, Some global properties of contact structures, Ann. of Math. 69 (1959), 421-450. MR 22:3016
14. [H] H. Hofer, Pseudoholomorphic curves in symplectizations with applications to the Weinstein conjecture in dimension three, Invent. Math. 114 (1993), 515-564. MR 94j:58064
15. [KO] Y. Katznelson and D. Ornstein, The differentiability of the conjugation of certain diffeomorphisms of the circle, Ergod. Tli. & Dynam. Sys. 9 (1989), 643-680. MR 91i:58121
16. [Mo] J. Moser, On the volume elements on a manifold, Trans. Amer. Math. Soc. 120 (1969), 286-294. MR 32:409
17. [Si] C. L. Siegel, Note on differential equations on the torus, Ann. of Math. 46 (1945), 423-428. MR 7:117g