Oriented associativity equations and symmetry consistent conjugate curvilinear coordinate nets

2012/04/11 by M. V. Pavlov, Maxim V. Pavlov, Artur Sergyeyev
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Associative property #Conjugate #Coordinate system #Curvilinear coordinates #Geometry #Hamiltonian (control theory) #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Pure mathematics #Quantum chaos and dynamical systems #Symmetry (geometry) #nlin.SI

paper · pdf · doi:10.1016/j.geomphys.2014.05.024

published as J. Geom. Phys. 85 (2014), 46--59 · 19 pages

arxiv created 2012/04/11 · openalex publication_date 2014/05/27 · arxiv updated 2017/10/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

This paper is devoted to description of the relationship among oriented associativity equations, symmetry consistent conjugate curvilinear coordinate nets, and the widest associated class of semi- Hamiltonian hydrodynamic-type systems.

Citations

• Quantum deformations of associative algebras and integrable systems
• The symmetric, D-invariant and Egorov reductions of the quadrilateral lattice
• F-manifolds with flat structure and Dubrovin's duality