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Hamiltonian group actions and dynamical systems of Calogero type. (English) Zbl 0368.58008


MSC:

37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.)
57R30 Foliations in differential topology; geometric theory
57S25 Groups acting on specific manifolds
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[1] Airault, Comm. Pure Appl. Math. 30 pp 95– (1977)
[2] Auslander, Invent. Math. 14 pp 155– (1971)
[3] Calogero, J. Mathematical Physics 12 pp 419– (1971)
[4] Calogero, J. Mathematical Physics 15 pp 1425– (1974)
[5] Gelbart, Inventiones Math. 19 pp 49– (1973)
[6] and , Geometric Asymptotics, AMS Pub., 1977.
[7] Differential Geometric Methods in Physic and Engineering, 3 Vols. Inter. Math, R. Hermann, New Brunswick, 1973.
[8] Howe, Remarks on classical invariant theory · JFM 19.1236.02
[9] Kashiwara, Inventiones Math. 44 pp 1– (1978)
[10] Kostant, Dynkin diagrams and the generalised Toda lattice
[11] Marsden, Reports on Math. Phys. 5 pp 121– (1974)
[12] Moser, Advances in Math. 16 pp 197– (1975)
[13] Olshanetsky, Inventiones Math. 37 pp 93– (1976)
[14] Structure des sytemes dynamiques, Dunod, Paris, 1970.
[15] Sutherland, Phys. Rev. A5 pp 1372– (1972)
[16] Sternberg, Trans. Amer. Math. Soc. 238 pp 1– (1978)
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