Nijenhuis geometry. III: \(\mathrm{gl}\)-regular Nijenhuis operators

DOI10.4171/rmi/1416arXiv2007.09506MaRDI QIDQ6118799

Alexei V. Bolsinov, Vladimir S. Matveev, Andrey Yu. Konyaev

Publication date: 28 February 2024

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.09506

zbMATH Keywords

normal formsingular pointintegrable PDEsNijenhuis operatorNijenhuis torsionquasilinear PDE system

Mathematics Subject Classification ID

Differential geometric aspects in vector and tensor analysis (53A45) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Nonlinear first-order PDEs (35F20) 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) Geometric theory, characteristics, transformations in context of PDEs (35A30) Local differential geometry (53B99) Overdetermined systems of PDEs with variable coefficients (35N10) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (1)

Applications of Nijenhuis geometry. III: Frobenius pencils and compatible non-homogeneous Poisson structures

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