Geometry & Topology Volume 10, issue 2 (2006)

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ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

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Global rigidity for totally nonsymplectic Anosov $\mathbb{Z}^k$ actions

Boris Kalinin and Victoria Sadovskaya

Geometry & Topology 10 (2006) 929–954

DOI: 10.2140/gt.2006.10.929

Bibliography

1	Y Benoist, F Labourie, Sur les difféomorphismes d'Anosov affines à feuilletages stable et instable différentiables, Invent. Math. 111 (1993) 285 MR1198811
2	M Einsiedler, T T. Fisher, Differentiable rigidity for hyperbolic toral actions, to appear in Israel J. Math.
3	R Feres, The invariant connection of a $\frac12$–pinched Anosov diffeomorphism and rigidity, Pacific J. Math. 171 (1995) 139 MR1362981
4	R Feres, A differential-geometric view of normal forms of contractions, from: "Modern dynamical systems and applications", Cambridge Univ. Press (2004) 103 MR2090767
5	J Franks, Anosov diffeomorphisms on tori, Trans. Amer. Math. Soc. 145 (1969) 117 MR0253352
6	E R Goetze, R J Spatzier, Smooth classification of Cartan actions of higher rank semisimple Lie groups and their lattices, Ann. of Math. $(2)$ 150 (1999) 743 MR1740993
7	M W Hirsch, C C Pugh, M Shub, Invariant manifolds, Springer (1977) MR0501173
8	S Hurder, Rigidity for Anosov actions of higher rank lattices, Ann. of Math. $(2)$ 135 (1992) 361 MR1154597
9	J L Journé, A regularity lemma for functions of several variables, Rev. Mat. Iberoamericana 4 (1988) 187 MR1028737
10	B Kalinin, A Katok, Invariant measures for actions of higher rank abelian groups, from: "Smooth ergodic theory and its applications (Seattle, WA, 1999)", Proc. Sympos. Pure Math. 69, Amer. Math. Soc. (2001) 593 MR1858547
11	B Kalinin, R Spatzier, On the classification of Cartan actions, to appear in Geom. Funct. Anal.
12	A Katok, J Lewis, Local rigidity for certain groups of toral automorphisms, Israel J. Math. 75 (1991) 203 MR1164591
13	A Katok, V Niţică, A Török, Non-abelian cohomology of abelian Anosov actions, Ergodic Theory Dynam. Systems 20 (2000) 259 MR1747022
14	A Katok, R J Spatzier, Differential rigidity of Anosov actions of higher rank abelian groups and algebraic lattice actions, Tr. Mat. Inst. Steklova 216 (1997) 292 MR1632177
15	E Lindenstrauss, Rigidity of multiparameter actions, Israel J. Math. 149 (2005) 199 MR2191215
16	A Manning, There are no new Anosov diffeomorphisms on tori, Amer. J. Math. 96 (1974) 422 MR0358865
17	S E Newhouse, On codimension one Anosov diffeomorphisms, Amer. J. Math. 92 (1970) 761 MR0277004
18	V Niţică, A Török, On the cohomology of Anosov actions, from: "Rigidity in dynamics and geometry (Cambridge, 2000)", Springer (2002) 345 MR1919410
19	J Palis, J C Yoccoz, Centralizers of Anosov diffeomorphisms on tori, Ann. Sci. École Norm. Sup. $(4)$ 22 (1989) 99 MR985856
20	C Pugh, M Shub, A Wilkinson, Hölder foliations, Duke Math. J. 86 (1997) 517 MR1432307
21	V Sadovskaya, On uniformly quasiconformal Anosov systems, Math. Res. Lett. 12 (2005) 425 MR2150895