Singularities of two-dimensional Nijenhuis operators

DOI10.1007/s40879-022-00585-xOpenAlexW4304142415MaRDI QIDQ2095613

Dinmukhammed Akpan

Publication date: 17 November 2022

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

Full work available at URL: https://doi.org/10.1007/s40879-022-00585-x

zbMATH Keywords

integrable systemssingular pointNijenhuis operatorNijenhuis geometry

Mathematics Subject Classification ID

Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Set-valued and function-space-valued mappings on manifolds (58C06) Real-valued functions on manifolds (58C05) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06)

Related Items (2)

Elementary differential singularities of three-dimensional Nijenhuis operators ⋮ Almost differentially nondegenerate Nijenhuis operators

Cites Work

• Unnamed Item
• Singularities of differentiable maps, Volume 1. Classification of critical points, caustics and wave fronts. Transl. from the Russian by Ian Porteous, edited by V. I. Arnol'd
• On singularities of mappings of Euclidean spaces. I. Mappings of the plane into the plane
• Nijenhuis geometry. II: Left-symmetric algebras and linearization problem for Nijenhuis operators
• Nijenhuis geometry
• Completeness of commutative Sokolov-Odesskii subalgebras and Nijenhuis operators on
• Open problems, questions and challenges in finite- dimensional integrable systems
• Applications of Nijenhuis geometry II: maximal pencils of multi-Hamiltonian structures of hydrodynamic type

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