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Geodesic flow on \(SO(4)\) and Abelian surfaces. (English) Zbl 0521.58042


MSC:

37D40 Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.)
53D25 Geodesic flows in symplectic geometry and contact geometry
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.)
14K10 Algebraic moduli of abelian varieties, classification
17B45 Lie algebras of linear algebraic groups
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References:

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[12] Mischenko, A.S., Fomenko, A.T.: Luler’s equation on finite dimensional Lie groups. Math. USSR Izv.12, 371-389 (1978) · Zbl 0405.58031
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[16] Reid, M.: The complete intersection of two or more quadrics. Thesis. Cambridge Univ. 1972
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