Akyildiz, Yilmaz On the dynamical symmetries of the Kepler problem. (English) Zbl 0448.58005 J. Math. Phys. 21, 665-670 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 Documents MSC: 37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems 37G99 Local and nonlocal bifurcation theory for dynamical systems 37D40 Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) 53D25 Geodesic flows in symplectic geometry and contact geometry 37N99 Applications of dynamical systems 70F05 Two-body problems Keywords:SO(n+1,2) action on the Kepler manifold of the n-dimensional hydrogen atom; periodicity of geodesic flow; two-body problem PDFBibTeX XMLCite \textit{Y. Akyildiz}, J. Math. Phys. 21, 665--670 (1980; Zbl 0448.58005) Full Text: DOI References: [1] DOI: 10.1002/cpa.3160230406 · Zbl 0193.53803 · doi:10.1002/cpa.3160230406 [2] DOI: 10.1007/BF01336904 · doi:10.1007/BF01336904 [3] Alliluev, Zh. Eksp. Teor. Fiz. 33 pp 200– (1957) [4] Alliluev, Sov. Phys. JETP 6 pp 156– (1958) [5] DOI: 10.1063/1.1666748 · Zbl 0285.22019 · doi:10.1063/1.1666748 [6] DOI: 10.2307/2373024 · Zbl 0178.17001 · doi:10.2307/2373024 [7] DOI: 10.2307/2373024 · Zbl 0178.17001 · doi:10.2307/2373024 [8] DOI: 10.1016/0001-8708(76)90186-9 · Zbl 0339.10019 · doi:10.1016/0001-8708(76)90186-9 [9] DOI: 10.1016/0001-8708(76)90139-0 · Zbl 0353.53027 · doi:10.1016/0001-8708(76)90139-0 [10] DOI: 10.1070/RM1962v017n04ABEH004118 · Zbl 0106.25001 · doi:10.1070/RM1962v017n04ABEH004118 [11] DOI: 10.1090/S0002-9947-1954-0058604-0 · Zbl 0055.34002 · doi:10.1090/S0002-9947-1954-0058604-0 [12] DOI: 10.1090/S0002-9939-1975-0422520-1 · doi:10.1090/S0002-9939-1975-0422520-1 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.