The Lagrange bitop on so(4) x so(4) and geometry of the Prym varieties

DOI10.1353/ajm.2004.0035zbMath1125.37316arXivmath-ph/0201036OpenAlexW1993652330MaRDI QIDQ4662033

Vladimir Dragović, Borislav Gajić

Publication date: 30 March 2005

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0201036

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Jacobians, Prym varieties (14H40) Integrable cases of motion in rigid body dynamics (70E40) Algebraic geometry methods for problems in mechanics (70G55) Higher-dimensional generalizations in rigid body dynamics (70E45)

Related Items (7)

SYSTEMS OF HESS–APPEL'ROT TYPE AND ZHUKOVSKII PROPERTY ⋮ Some recent generalizations of the classical rigid body systems ⋮ Elliptic curves and a new construction of integrable systems ⋮ Matrix Lax polynomials, geometry of Prym varieties and systems of Hess-Appel'rot type ⋮ Systems of Hess-Appel'rot type ⋮ On the cases of Kirchhoff and Chaplygin of the Kirchhoff equations ⋮ Continuous and discrete Neumann systems on Stiefel varieties as matrix generalizations of the Jacobi-Mumford systems

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