@article{ASENS_2001_4_34_6_871_0,
author = {Barbot, Thierry},
title = {Plane affine geometry and {Anosov} flows},
journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
pages = {871--889},
publisher = {Elsevier},
volume = {Ser. 4, 34},
number = {6},
year = {2001},
doi = {10.1016/s0012-9593(01)01079-5},
mrnumber = {1872423},
zbl = {1098.37513},
language = {en},
url = {https://www.numdam.org/articles/10.1016/s0012-9593(01)01079-5/}
}
TY - JOUR AU - Barbot, Thierry TI - Plane affine geometry and Anosov flows JO - Annales scientifiques de l'École Normale Supérieure PY - 2001 SP - 871 EP - 889 VL - 34 IS - 6 PB - Elsevier UR - https://www.numdam.org/articles/10.1016/s0012-9593(01)01079-5/ DO - 10.1016/s0012-9593(01)01079-5 LA - en ID - ASENS_2001_4_34_6_871_0 ER -
%0 Journal Article %A Barbot, Thierry %T Plane affine geometry and Anosov flows %J Annales scientifiques de l'École Normale Supérieure %D 2001 %P 871-889 %V 34 %N 6 %I Elsevier %U https://www.numdam.org/articles/10.1016/s0012-9593(01)01079-5/ %R 10.1016/s0012-9593(01)01079-5 %G en %F ASENS_2001_4_34_6_871_0
Barbot, Thierry. Plane affine geometry and Anosov flows. Annales scientifiques de l'École Normale Supérieure, Serie 4, Volume 34 (2001) no. 6, pp. 871-889. doi: 10.1016/s0012-9593(01)01079-5
[1] , Geodesic flows on closed Riemannian manifolds of negative curvature, Trudy Mat. Inst. Steklov. 90 (1967). | Zbl | MR
[2] , Caractérisation des flots d'Anosov en dimension 3 par leurs feuilletages faibles, Ergodic Theory Dynam. Systems 15 (1995) 247-270. | Zbl | MR
[3] , Flots d'Anosov sur les variétés graphées au sens de Waldhausen, Ann. Inst. Fourier (Grenoble) 46 (1996) 1451-1517. | Zbl | MR | Numdam
[4] , Generalizations of the Bonatti-Langevin example of Anosov flow and their classification up to topological equivalence, Comm. Anal. Geom. 6 (1998) 749-798. | Zbl | MR
[5] , , Un exemple de flot d'Anosov transitif transverse à un tore et non conjugué à une suspension, Ergodic Theory Dynam. Systems 14 (1994) 633-643. | Zbl | MR
[6] , , Unique ergodicity for horocycle foliations, Israel J. Math. 26 (1) (1977) 43-67. | Zbl | MR
[7] , Handbook of Incidence Geometry, North-Holland, Amsterdam, 1995, Edited by F. Buekenhout, 1420 pp. | Zbl | MR
[8] , Anosov flows in 3-manifolds, Ann. of Math. (2) 139 (1) (1994) 79-115. | Zbl | MR
[9] , The structure of branching in Anosov flows of 3-manifolds, Comment. Math. Helv. 73 (2) (1998) 259-297. | Zbl | MR
[10] Foulon P., private communication.
[11] , Anosov diffeomorphisms, in: Global Analysis (Berkeley, Calif., 1968), Proc. Sympos. Pure Math., XIV, American Mathematical Society, Providence, RI, 1970, pp. 61-93. | Zbl | MR
[12] , , Anomalous Anosov flows, in: Lectures Notes in Math., 819, 1980, pp. 158-174. | Zbl | MR
[13] , Transitive Anosov flows and pseudo-Anosov maps, Topology 22 (1983) 299-303. | Zbl | MR
[14] , Flots d'Anosov sur les 3-variétés fibrées en cercles, Ergodic Theory Dynam. Systems 4 (1) (1984) 67-80. | Zbl | MR
[15] , Flots d'Anosov dont les feuilletages stables sont différentiables, Ann. Sci. École Norm. Sup. (4) 20 (2) (1987) 251-270. | Zbl | MR | Numdam
[16] , Déformations de flots d'Anosov et de groupes fuchsiens, Ann. Inst. Fourier (Grenoble) 42 (1-2) (1992) 209-247. | Zbl | MR | Numdam
[17] , Rigidité différentiable des groupes fuchsiens, Inst. Hautes Études Sci. Publ. Math. 78 (1993) 163-185. | Zbl | MR | Numdam
[18] , Dehn surgery on Anosov flows, in: Lectures Notes in Math., 1007, 1983, pp. 300-307. | Zbl | MR
[19] , , Anosov flows on new three manifolds, Invent. Math. 59 (1980) 95-103. | Zbl | MR
[20] , , Introduction to the Modern Theory of Dynamical Systems (With a supplementary chapter by A. Katok and L. Mendoza), Encyclopedia of Mathematics and its Applications, 54, Cambridge University Press, Cambridge, 1995. | Zbl | MR
[21] , , Prevalence of non-Lipschitz Anosov foliations, Ergodic Theory Dynam. Systems 19 (1998) 643-656. | Zbl | MR
[22] , , Stable manifolds and hyperbolic sets, in: Global Analysis (Berkeley, Calif., 1968), Proc. Sympos. Pure Math., XIV, American Mathematical Society, Providence, RI, 1970, pp. 133-163. | Zbl | MR
[23] , , Differentiability, rigidity and Godbillon-Vey classes for Anosov flows, Inst. Hautes Études Sci. Publ. Math. 72 (1990) 5-61. | Zbl | MR | Numdam
[24] , Certain measures that are connected with U-flows on compact manifolds, Functional Anal. Appl. 4 (1970) 55-67. | Zbl | MR
[25] , On codimension one Anosov diffeomorphisms, Amer. J. Math. 92 (1970) 761-770. | Zbl | MR
[26] , Open manifolds foliated by planes, Ann. Math. 107 (1978) 109-131. | Zbl | MR
[27] , Anosov flows, Amer. J. Math. 94 (1972) 729-754. | Zbl | MR
[28] , Anosov flows, transversely affine foliations, and a conjecture of Verjovsky, J. London Math. Soc. (2) 23 (2) (1981) 359-362. | Zbl | MR
[29] , , Anosov flows and the fundamental group, Topology 11 (1972) 147-150. | Zbl | MR
[30] , , , , , , Compact Projective Planes, De Gruyter Expositions in Mathematics, 21, Walter de Gruyter, Berlin, 1995. | Zbl | MR
[31] , Codimension one Anosov flows and a conjecture of Verjovsky, Ergodic Theory Dynam. Systems 17 (1997) 1221-1231. | Zbl | MR
[32] , The universal cover of Anosov flows, preprint, 1992.
[33] , Three-manifolds, foliations and circles, I, preprint, 1997, math.gt/9712268. | MR
[34] , Codimension one Anosov flows, Bol. Soc. Mexicana (2) 19 (2) (1974) 49-77. | Zbl | MR
Cited by Sources:






