The Moduli Problem for Integrable Systems: The Example of a Geodesic Flow on SO(4)

DOI10.1112/S0024610700001253zbMath1020.37039MaRDI QIDQ4520476

Peter Bueken, Pol Vanhaecke

Publication date: 13 December 2000

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

geodesic flowmoduli problemflows of the integrable vector fieldsgeneric affine varietyintegrble systems

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Jacobians, Prym varieties (14H40) Relationships between algebraic curves and integrable systems (14H70) Algebraic moduli of abelian varieties, classification (14K10) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (2)

Separation of variables and explicit theta-function solution of the classical Steklov-Lyapunov systems: a geometric and algebraic geometric background ⋮ Bäcklund transformations for finite-dimensional integrable systems: a geometric approach.

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