Elementary differential singularities of three-dimensional Nijenhuis operators

DOI10.1134/s1061920823040015MaRDI QIDQ6146918

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Publication date: 15 January 2024

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

zbMATH Keywords

Nijenhuis operatorsfold-type singularity

Mathematics Subject Classification ID

Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Singularities of vector fields, topological aspects (58K45) Local Riemannian geometry (53B20)

Cites Work

• 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
• Nijenhuis geometry. II: Left-symmetric algebras and linearization problem for Nijenhuis operators
• Nijenhuis geometry
• Singularities of two-dimensional Nijenhuis operators
• Applications of Nijenhuis geometry: non-degenerate singular points of Poisson-Nijenhuis structures
• Applications of Nijenhuis geometry. IV: Multicomponent KdV and Camassa-Holm equations
• Almost differentially nondegenerate Nijenhuis operators
• Open problems, questions and challenges in finite- dimensional integrable systems
• Applications of Nijenhuis geometry II: maximal pencils of multi-Hamiltonian structures of hydrodynamic type
• Applications of Nijenhuis geometry. III: Frobenius pencils and compatible non-homogeneous Poisson structures

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