Abstract. We develop a new technique for calculating the first cohomology of certain classes of actions of higher--rank abelian groups (Z k
|
127
|
Differentiable dynamical systems
– Smale
- 1967
|
|
48
|
Discrete Subgroups of Lie Groups
– Raghunathan
- 1972
|
|
42
|
Ergodic theory and semisimple groups, Birkhauser
– Zimmer
- 1984
|
|
41
|
Canonical perturbation theory of Anosov systems and regularity results for Livsic cohomology equation
– Llave, Marco, et al.
- 1986
|
|
37
|
Differentiability, rigidity and Godbillon-Vey classes for Anosov flows
– Hurder, Katok
- 1990
|
|
35
|
Partially hyperbolic dynamical systems
– Pesin
- 1974
|
|
34
|
Cohomology of dynamical systems
– Livsic
- 1972
|
|
28
|
A regularity lemma for functions of several variables
– Journé
- 1988
|
|
25
|
Local rigidity for certain groups of toral automorphisms
– Katok, Lewis
- 1991
|
|
25
|
Characterization of Anosov diffeomorphisms
– Mather
- 1968
|
|
23
|
Rigidity for Anosov actions of higher rank lattices
– Hurder
- 1992
|
|
21
|
Some inverse spectral results for negatively curved 2-manifolds, Topology 19
– Guillemin, Kazhdan
- 1980
|
|
21
|
Invariant measures for higher rank hyperbolic abelian actions
– Katok, Spatzier
- 1996
|
|
20
|
First cohomology of Anosov actions of higher rank abelian groups and applications to rigidity
– Katok, Spatzier
- 1994
|
|
19
|
la Llave, Analytic regularity of solutions of Livsic's cohomology equation and some applications to analytic conjugacy of hyperbolic dynamical systems
– de
- 1997
|
|
18
|
Cartan subgroups and lattices in semisimple groups
– Prasad, Raghunathan
- 1972
|
|
16
|
On the cohomology of certain dynamical systems, Topology 19
– Guillemin, Kazhdan
- 1980
|
|
15
|
Endomorphisms of compact differentiable manifolds
– Shub
- 1969
|
|
14
|
There are no new Anosov diffeomorphisms on tori
– Manning
- 1974
|
|
13
|
Differential rigidity of Anosov actions of higher rank abelian groups and algebraic lattice actions
– Katok, Spatzier
- 1997
|
|
13
|
Homology properties of U systems
– Livsic
- 1971
|
|
12
|
Regularity of the transfer map for cohomologous cocycles. Ergodic Theory Dynam
– Nit¸ică, A
- 1998
|
|
10
|
Affine Anosov actions
– Hurder
- 1993
|
|
10
|
Cohomology of dynamical systems and rigidity of partially hyperbolic actions of higher rank lattices
– Nitica, Torok
- 1995
|
|
9
|
Anosov diffeomorphisms on tori
– Franks
- 1969
|
|
9
|
On invariant measures compatible with the smooth structure for transitive U systems
– Livsic, Sinai
- 1972
|
|
9
|
Regularity results for the solution of Livsic cohomology equation with values in diffeomorphism groups
– Nitica, Torok
- 1996
|
|
9
|
The cohomology of higher-dimensional shifts of finite type
– Schmidt
- 1995
|
|
8
|
Perturbations of geodesic flows on surfaces of constant negative curvature and their mixing properties
– Collet, Epstein, et al.
- 1984
|
|
8
|
Higher cohomology for abelian groups of toral automorphisms
– Katok, Katok
- 1995
|
|
8
|
The cohomology of expansive Z d -actions by automorphisms of compact, abelian groups
– Katok, Schmidt
- 1995
|
|
8
|
Subelliptic estimates of polynomial differential operators and applications to rigidity of abelian actions
– Katok, Spatzier
- 1994
|
|
8
|
Differential Geometry of Foliations
– Reinhart
- 1983
|
|
7
|
Bieberbach's theorems on the space groups and discrete uniform subgroups of Lie groups
– Auslander
- 1960
|
|
5
|
Anosov diffeomorphisms, Global Analysis (Proc. Sympos
– Franks
- 1968
|
|
5
|
Lie Groups and Lie Algebras
– Postnikov
- 1986
|
|
4
|
Local rigidity of certain partially hyperbolic actions of product type
– Nit¸ică, A
|
|
4
|
Cohomological rigidity of algebraic Z d -actions, Ergod
– Schmidt
- 1995
|
|
3
|
la Llave, Non-commutative Livsic equations and quasi-conformal estimates applied to rigidity of higher dimensional Anosov systems, preprint
– de
|
|
3
|
Anosov automorphisms for nilmanifolds and rigidity of group actions, Erg
– Qian
- 1995
|
|
2
|
Noncommutative first cohomology rigidity of the Weyl chamber flows, preprint
– Ferleger, Katok
- 1997
|
|
