Algebraic identities for the Nijenhuis tensors

DOI10.1016/j.difgeo.2006.02.009zbMath1114.53025OpenAlexW1999810624WikidataQ115357849 ScholiaQ115357849MaRDI QIDQ2432696

Oleg I. Bogoyavlenskij

Publication date: 25 October 2006

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2006.02.009

zbMATH Keywords

Nijenhuis tensorHaantjes tensoralgebraic identities

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (6)

On integrable systems outside Nijenhuis and Haantjes geometry ⋮ Killing tensors with nonvanishing Haantjes torsion and integrable systems ⋮ Algebraic identity for the Schouten tensor and bi-Hamiltonian systems ⋮ Nijenhuis geometry ⋮ Operad profiles of Nijenhuis structures ⋮ Reducing quasilinear systems to block triangular form

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Necessary conditions for existence of non-degenerate Hamiltonian structures
• Complex analytic coordinates in almost complex manifolds
• Reduction techniques for infinite-dimensional Hamiltonian systems: some ideas and applications
• Nijenhuis G-manifolds and Lenard bicomplexes: A new approach to KP systems
• The Schouten bracket and Hamiltonian operators
• Les variétés de Poisson et leurs algèbres de Lie associees
• Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory
• A simple model of the integrable Hamiltonian equation
• Generalized Conservation Laws
• Some Remarks on the Nijenhuis Tensor

This page was built for publication: Algebraic identities for the Nijenhuis tensors