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Topological transitivity of one class of dynamical systems and flows of frames on manifolds of negative curvature. (English. Russian original) Zbl 0357.58011
Funct. Anal. Appl. 9, 8-16 (1975); translation from Funkts. Anal. Prilozh. 9, No. 1, 9-19 (1975).

MSC:
37D30 Partially hyperbolic systems and dominated splittings
53C20 Global Riemannian geometry, including pinching
54H20 Topological dynamics (MSC2010)
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References:
[1] D. V. Anosov, Geodesic Flows on Closed Riemann Manifolds of Negative Curvature [in Russian], Tr. Matem. Inst. im. V. A. Steklova, Vol. 90 (1967). · Zbl 0176.19101
[2] M. I. Brin and Ya. B. Pesin, ”Partially hyperbolic dynamic systems,” Izv. Akad. Nauk SSSR, Ser. Matem.,38, 170-212 (1973). · Zbl 0285.58010
[3] H. Yamabe, ”On arcwise connected subgroup of a Lie group,” Osaka Math. J.,2, 13-14 (1950). · Zbl 0039.02101
[4] A. B. Katok, ”Dynamic systems with hyperbolic structure,” Ninth Summer Math. School [in Russian], Izd. Inst. Matematiki Akad. Nauk UkrainSSR, Kiev (1972), pp. 125-211.
[5] J. Moser, ”On a theorem of Anosov,” J. Diff. Equations,5, No. 3, 411-440 (1969). · Zbl 0169.42303 · doi:10.1016/0022-0396(69)90083-7
[6] V. I. Arnol’d, ”Several remarks of flows of linear elements and of frames,” Dokl. Akad. Nauk SSSR,138, No. 2, 255-257 (1961).
[7] D. Gromol, V. Klingenberg, and V. Meyer, Riemann Geometry in the Large [Russian translation], Mir, Moscow (1971).
[8] D. Hughesmoller, Fiber Spaces [Russian translation], Mir, Moscow (1970).
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