A rigidity theorem for transverse dynamics of real analytic foliations of codimension one

Nakai, Isao

Complex analytic methods in dynamical systems - IMPA, January 1992, Astérisque, no. 222 (1994), pp. 327-343.

Export
Comment citer

@incollection{AST_1994__222__327_0,
     author = {Nakai, Isao},
     title = {A rigidity theorem for transverse dynamics of real analytic foliations of codimension one},
     booktitle = {Complex analytic methods in dynamical systems - IMPA, January 1992},
     editor = {Camacho C. and Lins Neto A. and Moussu R. and Sad P.},
     series = {Ast\'erisque},
     pages = {327--343},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {222},
     year = {1994},
     language = {en},
     url = {http://archive.numdam.org/item/AST_1994__222__327_0/}
}

TY  - CHAP
AU  - Nakai, Isao
TI  - A rigidity theorem for transverse dynamics of real analytic foliations of codimension one
BT  - Complex analytic methods in dynamical systems - IMPA, January 1992
AU  - Collectif
ED  - Camacho C.
ED  - Lins Neto A.
ED  - Moussu R.
ED  - Sad P.
T3  - Astérisque
PY  - 1994
SP  - 327
EP  - 343
IS  - 222
PB  - Société mathématique de France
UR  - http://archive.numdam.org/item/AST_1994__222__327_0/
LA  - en
ID  - AST_1994__222__327_0
ER  -

%0 Book Section
%A Nakai, Isao
%T A rigidity theorem for transverse dynamics of real analytic foliations of codimension one
%B Complex analytic methods in dynamical systems - IMPA, January 1992
%A Collectif
%E Camacho C.
%E Lins Neto A.
%E Moussu R.
%E Sad P.
%S Astérisque
%D 1994
%P 327-343
%N 222
%I Société mathématique de France
%U http://archive.numdam.org/item/AST_1994__222__327_0/
%G en
%F AST_1994__222__327_0

Nakai, Isao. A rigidity theorem for transverse dynamics of real analytic foliations of codimension one, dans Complex analytic methods in dynamical systems - IMPA, January 1992, Astérisque, no. 222 (1994), pp. 327-343. http://archive.numdam.org/item/AST_1994__222__327_0/

Bibliographie
Cité par

[1] R. Bott, A. Haefliger, On characteristic classes of $Γ$ -foliations, 1039-1044, 78, No. 6, 1972, Bull. A.M.S..

[2] D. Cerveau, R. Moussu, Groupes d'antomorphismes de $ℂ$ et équations différentielles $y d y + \dots = 0$ , Bull. Soc. Math. France, 116, no. 4, 459-488, 1988.

[3] E. Ghys, Groupes d'homéomorphismes du cercle et cohomologie bornée, Contemp. Math., 58, III, 1987, 81-106.

[4] E. Ghys, Actions localement libres du groupe affine. Invent. Math., 82, 479-526, 1985.

[5] E. Ghys, Sur l'invariance topologique de la classe de Godbillon-Vey, Ann. Inst. Fourier, Grenoble, 37, 4, 59-76, 1987.

[6] E. Ghys, Classe d'Euler et minimal exceptionnel, Topology, 26, No. 1. 93-105, 1987.

[7] E. Ghys, L'invariant de Godbillon-Vey, Astérisque, 177-178, 155-181, 1989.

[8] E. Ghys, Rigidité differentiate des groupes fuchsins, Preprint Ecole Normale Supérieure de Lyon, no. 73, 1992.

[9] E. Ghys, T. Tsuboi, Differentiabilité des conjugaisons entre systèmes dynamiques de dimension 1, Ann. Inst. Fourier, Grenoble, 38, 1, 215-244, 1988.

[10] G. Hector, V. Hirsch, Introduction to the geometry of foliations Part B, Vieweg. Wiesbaden, 1983.

[11] S. Hurder, A. Katok, Differentiability, rigidity and Godbillon-Vey class for Anosov foliations, jour Publ. IHES, no. 72, 5-61, 1990.

[12] Yu. S. Il'Yashenko, Finiteness Theorem for limit cycles, Translations of Mathematical Monographs AMS, 94, 1991. | DOI | MR | Zbl

[13] S. Matsumoto, Some remarks on foliated $S^{1}$ -bundles, Invent. Math., 90, 343-358, 1987. | DOI | EuDML | MR | Zbl

[14] S. Matsumoto, Problems in Nagoya. Conference on dynamical systems in Nagoya University organised by Shiraiwa (1990).

[15] J. Milnor, On the existence of a connection with curvature zero, Comment. Math. Helv., 32, 215-223, 1957-1958. | DOI | EuDML | MR | Zbl

[16] H. Minakawa, Examples of exceptional homomorphisms which have non-trivial euler numbers, Topology, 30, No. 3. 429-438, 1991. | DOI | MR | Zbl

[17] I. Nakai, Separatrix for conformai transformation groups of $ℂ . 0$ , Preprint, Hokkaido Univ., 1991.

[18] G. Raby, L'invariant de Godbillon-Vey est stable par $C^{1}$ -difféomorhpisme, Ann. Inst. Fourier, Grenoble, 38-1, 205-213. 1988. | DOI | EuDML | Numdam | MR | Zbl

[19] G. Szekeres, Fractional iteration of entire and rational functions, J. Austral. Math. Soc., 4, 129-142, 1964. | DOI | MR | Zbl

[20] F. Takens, Normal forms for certain singular vector fields, Ann. Inst. Fourier, Grenoble, 23, 2, 163-195. 1973. | DOI | EuDML | Numdam | MR | Zbl

[21] S. M. Voronin, Analytic classification of germs of maps $(ℂ, 0) \to (ℂ, 0)$ with identical linear part, Funct. Anal.. 15. no. 1, 1-17, 1981. | DOI | MR | Zbl

[22] J. W. Wood, Bundles with totally disconnected structure group, Comment. Math, Helv. 46, 257-273, 1971. | DOI | EuDML | MR | Zbl