Two remarks about the connection of Jacobi and Neumann integrable systems

DOI10.1007/BF02572325zbMath0815.58011MaRDI QIDQ1340929

Alexander P. Veselov

Publication date: 21 December 1994

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174654

zbMATH Keywords

Lagrange multipliergeodesicsNeumann systempotential fieldJacobi problem

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Variational problems in infinite-dimensional spaces (58E99) Geodesic flows in symplectic geometry and contact geometry (53D25) Stability theory for smooth dynamical systems (37C75) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

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Cites Work

• Geodesics on quadrics and a mechanical problem of C. Neumann.
• NON-LINEAR EQUATIONS OF KORTEWEG-DE VRIES TYPE, FINITE-ZONE LINEAR OPERATORS, AND ABELIAN VARIETIES