Kazhdan, David; Kostant, Bertram; Sternberg, S. Hamiltonian group actions and dynamical systems of Calogero type. (English) Zbl 0368.58008 Commun. Pure Appl. Math. 31, 481-507 (1978). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 7 ReviewsCited in 163 Documents 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 PDFBibTeX XMLCite \textit{D. Kazhdan} et al., Commun. Pure Appl. Math. 31, 481--507 (1978; Zbl 0368.58008) Full Text: DOI References: [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) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.