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Volumn 36, Issue 3-4, 2000, Pages 315-323

Integrable geodesic flows on n -step nilmanifolds

Author keywords

Differential geometry; Dynamical systems; Geodesic flows; Hamiltonian mechanics; Integrability; Primary 58F07; Secondary 58F17, 53C22

Indexed keywords


EID: 0043205530     PISSN: 03930440     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0393-0440(00)00028-0     Document Type: Article
Times cited : (15)

References (12)
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    • Bolsinov, A.V.1    Taimanov, I.A.2
  • 3
    • 84942990301 scopus 로고
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    • Bowen R. Entropy for group endomorphisms and homogeneous spaces. Trans. Am. Math. Soc. 153:1971;401-414.
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  • 4
    • 0003192004 scopus 로고    scopus 로고
    • A new class of homogeneous manifolds with Liouville-integrable geodesic flows
    • Butler L. A new class of homogeneous manifolds with Liouville-integrable geodesic flows. CR Math. Rep. Acad. Sci. Can. 21(4):1999;127-131.
    • (1999) CR Math. Rep. Acad. Sci. Can. , vol.21 , Issue.4 , pp. 127-131
    • Butler, L.1
  • 5
    • 0000955793 scopus 로고
    • Topological obstructions to the integrability of natural mechanical systems
    • Kozlov V.V. Topological obstructions to the integrability of natural mechanical systems. Sov. Math. Dokl. 20(6):1979;1413-1415.
    • (1979) Sov. Math. Dokl. , vol.20 , Issue.6 , pp. 1413-1415
    • Kozlov, V.V.1
  • 6
    • 0000294785 scopus 로고
    • On a class of homogeneous spaces
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    • A.I. Mal'cev, On a class of homogeneous spaces, AMS Translation No. 39, American Mathematical Society, Providence, RI, 1951.
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    • Mal'cev, A.I.1
  • 7
    • 0002321797 scopus 로고
    • More topological entropy for geodesic flows
    • Springer, Berlin
    • A. Manning, More topological entropy for geodesic flows, Lecture Notes in Mathematics, Springer, Berlin, Vol. 898, 1981, pp. 243-249.
    • (1981) Lecture Notes in Mathematics , vol.898 , pp. 243-249
    • Manning, A.1
  • 8
    • 84971947070 scopus 로고
    • On the topology of manifolds with completely integrable geodesic flows
    • Paternain G.P. On the topology of manifolds with completely integrable geodesic flows. Ergodic Theory Dynamical Systems. 12:1992;109-121.
    • (1992) Ergodic Theory Dynamical Systems , vol.12 , pp. 109-121
    • Paternain, G.P.1
  • 9
    • 0042738403 scopus 로고
    • Multiplicity two actions and loop space homology
    • Paternain G.P. Multiplicity two actions and loop space homology. Ergodic Theory Dynamical Systems. 13:1993;143-151.
    • (1993) Ergodic Theory Dynamical Systems , vol.13 , pp. 143-151
    • Paternain, G.P.1
  • 10
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    • On the topology of manifolds with completely integrable geodesic flows, ii
    • Paternain G.P. On the topology of manifolds with completely integrable geodesic flows, ii. J. Geom. Phys. 13:1994;289-298.
    • (1994) J. Geom. Phys. , vol.13 , pp. 289-298
    • Paternain, G.P.1
  • 11
    • 0001291025 scopus 로고
    • Topological obstructions to integrability of geodesic flows on non-simply-connected manifolds
    • Taimanov I.A. Topological obstructions to integrability of geodesic flows on non-simply-connected manifolds. Math. USSR Izv. 30(2):1988;403-409.
    • (1988) Math. USSR Izv. , vol.30 , Issue.2 , pp. 403-409
    • Taimanov, I.A.1
  • 12
    • 0000473750 scopus 로고
    • The topology of Riemannian manifolds with integrable geodesic flows
    • Taimanov I.A. The topology of Riemannian manifolds with integrable geodesic flows. Proc. Steklov Inst. Math. 205(6):1995;139-150.
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    • Taimanov, I.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.