Sur l'invariance topologique de la classe de Godbillon-Vey

 Access to full text

 Full (PDF)

1. [1] G. D. BIRKHOFF, Dynamical systems with two degrees of freedom, Trans. Amer. Math. Soc., 18 (1917), 199-300. Zbl46.1174.01JFM46.1174.01
2. [2] R. BOTT, On some formulas for the characteristic classes of group actions, Differential topology, foliations and Gelfand-Fuks cohomology, Proceed. Rio de Janeiro, 1976, Springer Lecture Notes, vol. 652 (1978). Zbl0393.57011
3. [3] R. BOWEN, Anosov foliations are hyperfinite, Ann. of Maths, vol. 106 (1977), 549-565. Zbl0374.58008MR57 #1569
4. [4] R. BOWEN, C. SERIES, Markov maps associated with Fuchsian groups, Inst. Hautes Etudes Sci. Pub. Math., n° 50 (1979), 153-170. Zbl0439.30033MR81b:58026
5. [5] G. DUMINY, L'invariant de Godbillon-Vey se localise dans les feuilles ressort, preprint, Université de Lille (1982). 
6. [6] G. DUMINY, V. SERGIESCU, Sur la nullité de l'invariant de Godbillon-Vey, C.R. Acad. Sci. Paris, 292 (1981), 821-824. Zbl0473.57015MR84a:57024
7. [7] A. FATHI, F. LAUDENBACH, V. POÉNARU, Travaux de Thurston sur les surfaces, Astérisque, 66-67 (1979). Zbl0406.00016MR82m:57003
8. [8] D. FRIED, Transitive Anosov flows and pseudo-Anosov maps, Topology, vol 22, n° 3 (1983), 299-303. Zbl0516.58035MR84j:58095
9. [9] D. B. FUCHS, A. M. GABRIELOV, I. M. GELFAND, The Gauss-Bonnet theorem and the Atiyah - Patodi - Singer functionals for the characteristic classes of foliations, Topology, 15 (1976), 165-188. Zbl0347.57009MR55 #4201
10. [10] E. GHYS, Flots d'Anosov dont les feuilletages stables sont différentiables, Ann. Scient. Éc. Norm. Sup., 20 (1987), 251-270. Zbl0663.58025MR89h:58153
11. [11] E. GHYS, V. SERGIESCU, Sur un groupe remarquable de difféomorphismes du cercle, Comment. Math. Helvetici, 62 (1987), 185-239. Zbl0647.58009MR90c:57035
12. [12] E. GHYS, T. TSUBOI, Différentiabilité des conjugaisons entre systèmes dynamiques de dimension 1, à paraître aux Annales de l'Institut Fourier, Grenoble, 38-1 (1988). Zbl0633.58018MR89i:58119
13. [13] C. GODBILLON, J. VEY, Un invariant des feuilletages de codimension 1, C.R. Acad. Sci. Paris, 273 (1971), 92-95. Zbl0215.24604MR44 #1046
14. [14] M. HERMAN, Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations, Inst. Hautes Études Sci. Pub. Math., n° 49 (1978), 5-234. Zbl0448.58019MR81h:58039
15. [15] S. HURDER, The Godbillon measure for amenable foliations, J. Differential Geometry, 23 (1986), 347-365. Zbl0605.57015MR87m:57030
16. [16] S. HURDER, A. KATOK, Differentiability, rigidity and Godbillon-Vey classes for Anosov foliations, preprint, University of Illinois (1986). Zbl0725.58034
17. [17] H. B. LAWSON, Lectures on the quantitative theory of foliations, Nat. Sci. Foundations Regional Conf., Saint-Louis (1975) Am. Math. Soc. 
18. [18] J. MATHER, The vanishing of the homology of certain groups of homeomorphisms, Topology, 10 (1971), 297-298. Zbl0207.21903MR44 #5973
19. [19] Y. MITSUMATSU, A relation between the topological invariance of the Godbillon-Vey invariant and the differentiability of Anosov foliations, Advanced Studies in Pure Mathematics, University of Tokyo 5 (1985). Zbl0653.57018MR88a:57050
20. [20] R. MOUSSU, F. PELLETIER, Sur le théorème de Poincaré-Bendixson, Ann. Inst. Fourier, 24-1 (1974), 131-148. Zbl0273.57008MR50 #11266
21. [21] I. NIVEN, Irrational numbers, The Corus mathematical monographs (Math. Ass. of America) n° 11 (1956). Zbl0070.27101MR18,195c
22. [22] G. RABY, L'invariant de Godbillon-Vey est stable par C¹-difféomorphisme, à paraître aux Annales de l'Institut Fourier, Grenoble, 38-1 (1988). Zbl0596.57018
23. [23] P. A. SCHWEITZER, editor, Some problems in foliation theory and related area, Differential topology, foliations and Gelfand-Fuks cohomology, Rio de Janeiro (1976), Springer Lecture Notes in Math., 652 (1978), 240-252. Zbl0377.57001
24. [24] T. TSUBOI, On the foliated products of class C1, preprint. Zbl0701.57012

1. Marco Brunella, On the discrete Godbillon-Vey invariant and Dehn surgery on geodesic flows
2. N. Hashiguchi, $PL$ representations of Anosov foliations
3. Étienne Ghys, L'invariant de Godbillon-Vey
4. S. Hurder, Anatoly Katok, Differentiability, rigidity and Godbillon-Vey classes for Anosov flows
5. Takashi Tsuboi, Area functionals and Godbillon-Vey cocycles