Guillemin, Victor; Sternberg, Shlomo On collective complete integrability according to the method of Thimm. (English) Zbl 0511.58024 Ergodic Theory Dyn. Syst. 3, 219-230 (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 30 Documents MSC: 37J35 Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests 37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) 53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.) 37J15 Symmetries, invariants, invariant manifolds, momentum maps, reduction (MSC2010) Keywords:Poisson commuting functions; real and complex Grassmannians; geometry of the moment map; Poisson bracket; Kostant-Souriau bracket Citations:Zbl 0491.58014 PDFBibTeX XMLCite \textit{V. Guillemin} and \textit{S. Sternberg}, Ergodic Theory Dyn. Syst. 3, 219--230 (1984; Zbl 0511.58024) Full Text: DOI References: [1] DOI: 10.1007/BF01398933 · Zbl 0503.58017 · doi:10.1007/BF01398933 [2] DOI: 10.1016/0003-4916(80)90155-4 · Zbl 0453.58015 · doi:10.1016/0003-4916(80)90155-4 [3] Duflo, CRAS Paris 268 pp A583– (1969) [4] Tkhi, Math. Sb. 106 pp 154– (1978) [5] Thimm, Ergod. Th. & Dynam. Sys. 1 pp 495– (1981) [6] DOI: 10.1016/0034-4877(74)90021-4 · Zbl 0327.58005 · doi:10.1016/0034-4877(74)90021-4 [7] Mishchenko, Itvestia 12 pp none– (1978) [8] Mishchenko, Matem. Zametki 31 pp 257– (1982) [9] Kramer, Compositio Mathematica 38 pp 129– (1979) [10] Mikitiuk, Dauk Akad. Nauk SSSR 265 pp 1074– (1982) [11] DOI: 10.1002/cpa.3160310405 · Zbl 0368.58008 · doi:10.1002/cpa.3160310405 [12] DOI: 10.2307/1998615 · Zbl 0317.22013 · doi:10.2307/1998615 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.