PROJECTIVE CONNECTIONS, AGD MANIFOLD AND INTEGRABLE SYSTEMS

DOI10.1142/S0129055X00000538zbMath0990.37053OpenAlexW2160112623MaRDI QIDQ2730408

Partha Guha

Publication date: 7 August 2001

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129055x00000538

zbMATH Keywords

integrable systemsAdler-Gelfand-Dikii spaceprojective connection

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) Groups and algebras in quantum theory and relations with integrable systems (81R12) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics (37K65)

Related Items (4)

Euler-Poincaré flows on \(\mathrm{sl}_{ n }\) opers and integrability ⋮ SPACE OF HIGHER ORDER DIFFERENTIAL OPERATORS ON S¹ AND INTEGRABLE FLOWS ⋮ Antiplectic structure, diffeomorphism and generalized KdV family ⋮ Diffeomorphisms on S¹, projective structures and integrable systems

Uses Software

• AGD

Cites Work

• Coadjoint orbits of the Virasoro group
• Kähler structures on K-orbits of the group of diffeomorphisms of the circle
• Unitary representations of some infinite dimensional groups
• On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
• The geometry of the KdV equation

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