Generalised Eisenhart lift of the Toda chain

DOI10.1063/1.4866318zbMath1298.37045arXiv1312.2019OpenAlexW1976507327MaRDI QIDQ5414791

Marco Cariglia, Gary W. Gibbons

Publication date: 7 May 2014

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

Full work available at URL: https://arxiv.org/abs/1312.2019

zbMATH Keywords

completely integrable systemshierarchiesbi-Hamiltonian structuresintegrability tests

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10)

Related Items

Black holes, hidden symmetries, and complete integrability ⋮ Ricci-flat spacetimes admitting higher rank Killing tensors ⋮ Eisenhart lift for higher derivative systems ⋮ Conformal killing tensors and covariant Hamiltonian dynamics ⋮ Superintegrable systems on 3-dimensional curved spaces: Eisenhart formalism and separability ⋮ Some metrics admitting nonpolynomial first integrals of the geodesic equation ⋮ Eisenhart lift for Euler's problem of two fixed centers ⋮ Null lifts and projective dynamics ⋮ \( \mathcal{N} =2 \) supersymmetric extensions of relativistic Toda lattice

Cites Work

• Unnamed Item
• Black holes as generalised Toda molecules
• Geometry and topology in Hamiltonian dynamics and statistical mechanics
• Non-compact symmetric spaces and the Toda molecule equations
• 4-dimensional black holes from Kaluza-Klein theories
• A geometric interpretation of integrable motions
• Integrals of the Toda lattice
• The Toda lattice. II. Existence of integrals
• Black holes and Calogero models

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