pith. sign in

arxiv: 1712.08908 · v1 · pith:LV46R2FCnew · submitted 2017-12-24 · 🧮 math.HO · math.DG· math.DS

Beyond recursion operators

Yvette Kosmann-Schwarzbach This is my paper
classification 🧮 math.HO math.DGmath.DS
keywords haantjesmanifoldsoperatorsrecursiontorsionapproachbeyondbi-hamiltonian
0
0 comments X
read the original abstract

We briefly recall the history of the Nijenhuis torsion of (1,1)-tensors on manifolds and of the lesser-known Haantjes torsion. We then show how the Haantjes manifolds of Magri and the symplectic-Haantjes structures of Tempesta and Tondo generalize the classical approach to integrable systems in the bi-hamiltonian and symplectic-Nijenhuis formalisms, the sequence of powers of the recursion operator being replaced by a family of commuting Haantjes operators.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Integrable sigma models with Haantjes structure on ${H_{4}}$ Lie group

    hep-th 2026-05 unverdicted novelty 6.0

    Classification of 34 Haantjes structures on h4 Lie algebra yields three new integrable sigma models on H4 via deformation of the chiral model under solved integrability conditions.