Moving frames, geometric Poisson brackets and the KdV-Schwarzian evolution of pure spinors
type: Item
instance of: scholarly article
title: Moving frames, geometric Poisson brackets and the KdV-Schwarzian evolution of pure spinors
zbMATH Open document ID: 1245.53066
author: G. Marí Beffa
publication date: 2012-06-06T00:00:00Z
full work available at URL: https://eudml.org/doc/219747
Mathematics Subject Classification ID: 53D55
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 37K10
zbMATH DE Number: 6043083
zbMATH Keywords: moving frame
zbMATH Keywords: spinor evolutions
zbMATH Keywords: geometric Poisson brackets
zbMATH Keywords: KdV equations
zbMATH Keywords: differential invariants
zbMATH Keywords: Miura transformation
zbMATH Keywords: non-commutative modified KdV system
MaRDI profile type: Publication
OpenAlex ID: W2264340996
cites work: Bi-Hamiltonian operators, integrable flows of curves using moving frames and geometric map equations
cites work: Hamiltonian flows of curves in \(G/\text{SO}(N)\) and vector soliton equations of mKdV and sine-Gordon type
cites work: Conformal Circles and Parametrizations of Curves in Conformal Manifolds
cites work: Complex Paraconformal Manifolds – their Differential Geometry and Twistor Theory
cites work: Remarks on KdV-type flows on star-shaped curves
cites work: Q4760223
cites work: Integrable equations arising from motions of plane curves
cites work: Integrable equations arising from motions of plane curves. II.
cites work: Q3223592
cites work: Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory
cites work: Geometric Poisson brackets on Grassmannians and conformal spheres
cites work: Moving coframes. I: A practical algorithm
cites work: Moving coframes. II: Regularization and theoretical foundations
cites work: The Conformal Theory of Curves
cites work: Group actions on chains of Banach manifolds and applications to fluid dynamics
cites work: The moving frame, differential invariants and rigidity theorems for curves in homogeneous spaces
cites work: On Cartan's method of Lie groups and moving frames as applied to uniqueness and existence questions in differential geometry
cites work: A soliton on a vortex filament
cites work: Q4237538
cites work: A new flow on starlike curves in $\mathbb {R}^3$
cites work: Q3864089
cites work: Poisson geometry of the filament equation
cites work: Geometric realizations of Fordy-Kulish nonlinear Schrödinger systems.
cites work: Evolution of curvature invariants and lifting integrability
cites work: Poisson structures for geometric curve flows in semi-simple homogeneous spaces
cites work: Integrable systems in three-dimensional Riemannian geometry.
cites work: On completely integrable geometric evolutions of curves of Lagrangian planes
cites work: Geometric Hamiltonian structures on flat semisimple homogeneous manifolds
cites work: Geometric realizations of bi-Hamiltonian completely integrable systems
cites work: Projective-type differential invariants and geometric curve evolutions of KdV-type in flat homogeneous manifolds
cites work: Bi-Hamiltonian flows and their realizations as curves in real semisimple homogeneous manifolds
cites work: Q4849745
cites work: Lagrange-Schwarzian derivative and symplectic Sturm theory
cites work: Q3158584
cites work: Q4818708
cites work: The geometry of the KdV equation
cites work: Integrable systems associated to curves in flat Galilean and Minkowski spaces
cites work: Completely integrable curve flows on adjoint orbits
cites work: Q5488963
DOI: 10.5802/AIF.2678
published in: Annales de l’institut Fourier
reviewed by: Panagiotis Batakidis
description: scientific article; zbMATH DE number 6043083