Polarization of generalized Nijenhuis torsions

DOI10.1090/conm/789/15848zbMath1527.53013arXiv2209.12716MaRDI QIDQ6049775

Giorgio Tondo, Piergiulio Tempesta

Publication date: 15 September 2023

Published in: The Diverse World of PDEs (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.12716

zbMATH Keywords

polarizationgeneralized Nijenhuis torsion

Mathematics Subject Classification ID

Differential geometric aspects in vector and tensor analysis (53A45) Spectral theory; eigenvalue problems on manifolds (58C40) Vector distributions (subbundles of the tangent bundles) (58A30)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Haantjes structures for the Jacobi-Calogero model and the Benenti systems
• Haantjes manifolds and Veselov systems
• Complex analytic coordinates in almost complex manifolds
• Symmetric multilinear forms and polarization of polynomials
• Haantjes manifolds with symmetry
• Haantjes algebras of the Lagrange top
• Geometric methods in physics XXXVI. Workshop and summer school, Białowieża, Poland, July 2--8, 2017. Selected papers of the 36th workshop (WGMPXXXVI) and extended abstracts of lectures given at the 6th ``School of geometry and physics
• Higher Haantjes brackets and integrability
• Haantjes algebras of classical integrable systems
• Haantjes algebras and diagonalization
• Classical multiseparable Hamiltonian systems, superintegrability and Haantjes geometry
• Differential-geometric approach to the integrability of hydrodynamic chains: the Haantjes tensor
• Lie groups. An approach through invariants and representations
• Generalized Nijenhuis torsions and block-diagonalization of operator fields
• The Haantjes tensor and double waves for multi-dimensional systems of hydrodynamic type: a necessary condition for integrability