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Canonical perturbation theory of Anosov systems, and regularity results for the Livsic cohomology equation
Author(s):
R.
de la Llave;
J. M.
Marco;
R.
Moriyón
Journal:
Bull. Amer. Math. Soc.
12
(1985),
91-94.
MSC (1980):
Primary 58F05, 58F15, 70H15
MathSciNet review:
766961
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References:
- [A] D. V. Anosov, Geodesic flows and closed riemannian manifolds with negative curvature, Proc. Steklov Inst. Math. 90 (1967). MR 224110
- [B] R. Bowen, On Axiom A diffeomorphisms, CBMS Regional Conf. Ser. in Math., no. 35, Amer. Math. Soc. Providence, R.I., 1978. MR 482842
- [C.E.G.] P. Collet, H. Epstein and G. Gallavotti, Perturbations of geodesic flows on surfaces of constant negative curvature and their mixing properties, I.M.A. preprint 23, Comm. Math. Phys. (to appear). MR 757055
- [G.K.1] V. Guillemin and I. Kazhdan, On the cohomology of certain dynamical systems, Topology 19 (1980), 291-299. MR 579578
- [G.K.2] V. Guillemin and I. Kazhdan, Some inverse spectral results for negatively curved 2-manifolds, Topology 19 (1980), 301 312. MR 579579
- [G.K.3] V. Guillemin and I. Kazhdan, Some inverse spectral results for negatively curved n-manifolds, Geometry of the Laplace Operator, Proc. Sympos. Pure Math., vol. 36, Amer. Math. Soc. Providence, R.I., 1980, pp. 153-180. MR 573432
- [K] B. Konstant, Quantization and unitary representations, Lectures in Modern Analysis, III (C. T. Taam, ed.), Lecture Notes in Math., vol. 170, Springer-Verlag, 1970, pp. 87-207. MR 294568
- [LI] A. L. Livsic, Cohomology properties of Y-systems, Math. Notes 10 (1971), 758-763. MR 293669
- [L2] A. L. Livsic, Cohomology of dynamical systems, Math. USSR-Izv. 6 (1972), 1278-1301.
- [M] J. Moser, On a theorem of Anosov, J. Differential Equations 5 (1969), 411-440. MR 238357
- [S] S. Smale, Differentiable dynamical systems, Bull. Amer. Math. Soc. 73 (1967), 747-817. MR 228014
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Additional Information:
DOI:
10.1090/S0273-0979-1985-15298-X
PII:
S 0273-0979(1985)15298-X
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