Canonical perturbation theory of Anosov systems, and regularity results for the Livsic cohomology equation
Authors:
R. de la Llave, J. M. Marco and R. Moriyón
Journal:
Bull. Amer. Math. Soc. 12 (1985), 9194
MSC (1980):
Primary 58F05, 58F15, 70H15
DOI:
https://doi.org/10.1090/S02730979198515298X
MathSciNet review:
766961
Fulltext PDF Free Access
References  Similar Articles  Additional Information
 D. V. Anosov, Geodesic flows on closed Riemannian manifolds of negative curvature, Trudy Mat. Inst. Steklov. 90 (1967), 209 (Russian). MR 0224110
 Rufus Bowen, On Axiom A diffeomorphisms, American Mathematical Society, Providence, R.I., 1978. Regional Conference Series in Mathematics, No. 35. MR 0482842
 P. Collet, H. Epstein, and G. Gallavotti, Perturbations of geodesic flows on surfaces of constant negative curvature and their mixing properties, Comm. Math. Phys. 95 (1984), no. 1, 61–112. MR 757055
 V. Guillemin and D. Kazhdan, On the cohomology of certain dynamical systems, Topology 19 (1980), no. 3, 291–299. MR 579578, https://doi.org/10.1016/00409383(80)900142
 V. Guillemin and D. Kazhdan, Some inverse spectral results for negatively curved 2manifolds, Topology 19 (1980), no. 3, 301–312. MR 579579, https://doi.org/10.1016/00409383(80)900154
 Victor Guillemin and David Kazhdan, Some inverse spectral results for negatively curved 𝑛manifolds, Geometry of the Laplace operator (Proc. Sympos. Pure Math., Univ. Hawaii, Honolulu, Hawaii, 1979) Proc. Sympos. Pure Math., XXXVI, Amer. Math. Soc., Providence, R.I., 1980, pp. 153–180. MR 573432
 Bertram Kostant, Quantization and unitary representations. I. Prequantization, Lectures in modern analysis and applications, III, Springer, Berlin, 1970, pp. 87–208. Lecture Notes in Math., Vol. 170. MR 0294568
 A. N. Livšic, Certain properties of the homology of 𝑌systems, Mat. Zametki 10 (1971), 555–564 (Russian). MR 293669

[L2] A. L. Livsic, Cohomology of dynamical systems, Math. USSRIzv. 6 (1972), 12781301.
 J. Moser, On a theorem of Anosov, J. Differential Equations 5 (1969), 411–440. MR 238357, https://doi.org/10.1016/00220396(69)900837
 S. Smale, Differentiable dynamical systems, Bull. Amer. Math. Soc. 73 (1967), 747–817. MR 228014, https://doi.org/10.1090/S000299041967117981
Retrieve articles in Bulletin of the American Mathematical Society with MSC (1980): 58F05, 58F15, 70H15
Retrieve articles in all journals with MSC (1980): 58F05, 58F15, 70H15
Additional Information
DOI:
https://doi.org/10.1090/S02730979198515298X