Beyond recursion operators

DOI10.1007/978-3-030-01156-7_18zbMath1426.53001arXiv1712.08908OpenAlexW2777153719MaRDI QIDQ2330882

Yvette Kosmann-Schwarzbach

Publication date: 23 October 2019

Full work available at URL: https://arxiv.org/abs/1712.08908

zbMATH Keywords

WDVV equationsrecursion operatorintegrable systemNijenhuis torsionHaantjes torsionhigher Nijenhuis torsionMagri-Lenard complex

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) Graded Lie (super)algebras (17B70) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Symplectic geometry, contact geometry (53D99) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Differential invariants (local theory), geometric objects (53A55)

Related Items (7)

Polynomial structures in generalized geometry ⋮ Integrating Nijenhuis structures ⋮ Generalized Nijenhuis torsions and block-diagonalization of operator fields ⋮ Examples of four- or six-dimensional symplectic-Haantjes manifolds and about a relationship with recursion operators ⋮ Integrability theorems of free systems and symplectic Haantjes structures ⋮ Higher Haantjes brackets and integrability ⋮ Haantjes algebras of classical integrable systems

This page was built for publication: Beyond recursion operators