Download this article
 Download this article For screen
For printing
Recent Issues

Volume 26
Issue 5, 1597–1963
Issue 4, 1229–1596
Issue 3, 825–1227
Issue 2, 411–824
Issue 1, 1–410

Volume 25, 9 issues

Volume 24, 9 issues

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
 
Author index
To appear
 
Other MSP journals
Anosov flows and Liouville pairs in dimension three

Thomas Massoni

Algebraic & Geometric Topology 25 (2025) 1793–1838
Bibliography
1 D V Anosov, Ergodic properties of geodesic flows on closed Riemannian manifolds of negative curvature, Dokl. Akad. Nauk SSSR 151 (1963) 1250 MR163258
2 D V Anosov, Geodesic flows on closed Riemannian manifolds of negative curvature, Trudy Mat. Inst. Steklov. 90 (1967) 3 MR224110
3 M Asaoka, On invariant volumes of codimension-one Anosov flows and the Verjovsky conjecture, Invent. Math. 174 (2008) 435 MR2439611
4 T Barthelmé, Anosov flows in dimension 3 : preliminary version, lecture notes (2017)
5 T Barthelmé, K Mann, Orbit equivalences of -covered Anosov flows and hyperbolic-like actions on the line, Geom. Topol. 28 (2024) 867 MR4718129
6 R Bowen, D Ruelle, The ergodic theory of Axiom A flows, Invent. Math. 29 (1975) 181 MR380889
7 K Cieliebak, Y Eliashberg, From Stein to Weinstein and back : symplectic geometry of affine complex manifolds, 59, Amer. Math. Soc. (2012) MR3012475
8 K Cieliebak, O Lazarev, T Massoni, A Moreno, Floer theory of Anosov flows in dimension three, preprint (2022) arXiv:2211.07453
9 V Colin, S Firmo, Paires de structures de contact sur les variétés de dimension trois, Algebr. Geom. Topol. 11 (2011) 2627 MR2836297
10 V Colin, E Giroux, K Honda, Finitude homotopique et isotopique des structures de contact tendues, Publ. Math. Inst. Hautes Études Sci. 109 (2009) 245 MR2511589
11 T tom Dieck, Partitions of unity in homotopy theory, Compos. Math. 23 (1971) 159 MR293625
12 Y Eliashberg, A few remarks about symplectic filling, Geom. Topol. 8 (2004) 277 MR2023279
13 Y M Eliashberg, W P Thurston, Confoliations, 13, Amer. Math. Soc. (1998) MR1483314
14 T Fisher, B Hasselblatt, Hyperbolic flows, Eur. Math. Soc. (2019) MR3972204
15 D T Gay, Four-dimensional symplectic cobordisms containing three-handles, Geom. Topol. 10 (2006) 1749 MR2284049
16 É Ghys, Déformations de flots d’Anosov et de groupes fuchsiens, Ann. Inst. Fourier (Grenoble) 42 (1992) 209 MR1162561
17 É Ghys, Rigidité différentiable des groupes fuchsiens, Inst. Hautes Études Sci. Publ. Math. 78 (1993) 163 MR1259430
18 M Gromov, Partial differential relations, 9, Springer (1986) MR864505
19 B Hasselblatt, Regularity of the Anosov splitting and of horospheric foliations, Ergodic Theory Dynam. Systems 14 (1994) 645 MR1304137
20 S Hozoori, On Anosovity, divergence and bi-contact surgery, Ergodic Theory Dynam. Systems 43 (2023) 3288 MR4637154
21 S Hozoori, Symplectic geometry of Anosov flows in dimension 3 and bi-contact topology, Adv. Math. 450 (2024) 109764 MR4755873
22 R de la Llave, J M Marco, R Moriyón, Canonical perturbation theory of Anosov systems and regularity results for the Livšic cohomology equation, Ann. of Math. 123 (1986) 537 MR840722
23 T A Marty, Skewed Anosov flows in dimension 3 are Reeb-like, J. Eur. Math. Soc. (2025)
24 T Massoni, Taut foliations and contact pairs in dimension three, preprint (2024) arXiv:2405.15635
25 P Massot, K Niederkrüger, C Wendl, Weak and strong fillability of higher dimensional contact manifolds, Invent. Math. 192 (2013) 287 MR3044125
26 G Meigniez, Submersions, fibrations and bundles, Trans. Amer. Math. Soc. 354 (2002) 3771 MR1911521
27 F Micena, Some sufficient conditions for transitivity of Anosov diffeomorphisms, J. Math. Anal. Appl. 515 (2022) 126433 MR4444739
28 Y Mitsumatsu, Anosov flows and non-Stein symplectic manifolds, Ann. Inst. Fourier (Grenoble) 45 (1995) 1407 MR1370752
29 R C Robinson, Structural stability of C1 flows, from: "Dynamical systems" (editor A Manning), Lecture Notes in Math. 468, Springer (1975) 262 MR650640
30 S Simić, Codimension one Anosov flows and a conjecture of Verjovsky, Ergodic Theory Dynam. Systems 17 (1997) 1211 MR1477039
31 M Weiss, What does the classifying space of a category classify?, Homology Homotopy Appl. 7 (2005) 185 MR2175298