Kronecker webs, bihamiltonian structures, and the method of argument translation

DOI10.1007/BF01263093zbMath0994.37034arXivmath/9908034MaRDI QIDQ5959061

Ilya Zakharevich

Publication date: 9 July 2002

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9908034

zbMATH Keywords

bi-Hamiltonian structuresKroenecker webs

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) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Differential geometry of webs (53A60)

Related Items (21)

Jordan-Kronecker invariants of finite-dimensional Lie algebras ⋮ SYSTEMS OF HESS–APPEL'ROT TYPE AND ZHUKOVSKII PROPERTY ⋮ Flat bi-Hamiltonian structures and invariant densities ⋮ Some remarks about Mishchenko-Fomenko subalgebras ⋮ Finite-dimensional integrable systems: a collection of research problems ⋮ Invariant foliations of nondegenerate bi-Hamiltonian structures ⋮ Geometry of isotypic Kronecker webs ⋮ Webs, Nijenhuis operators, and heavenly PDEs ⋮ Jordan-Kronecker invariants of Lie algebra representations and degrees of invariant polynomials ⋮ Webs and the Plebański equation ⋮ Projections of Jordan bi-Poisson structures that are Kronecker, diagonal actions, and the classical Gaudin systems. ⋮ Algebraic Nijenhuis operators and Kronecker Poisson pencils ⋮ Differential geometry of Veronese-like webs ⋮ Differential geometry of Lagrange-like webs ⋮ On integrability of generalized Veronese curves of distributions ⋮ On a Poisson reduction for Gel'fand-Zakhare\-vich manifolds ⋮ Kronecker webs, Nijenhuis operators, and nonlinear PDEs ⋮ Induced connections on manifolds in spaces with fundamental groups ⋮ Kronecker webs, bihamiltonian structures, and the method of argument translation ⋮ Kronecker indices of Lie algebras and invariants degrees estimate ⋮ Algebraic properties of compatible Poisson brackets

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