Affinely rigid body and Hamiltonian systems on GL(n,\({\mathbb{R}})\)
type: Item
instance of: scholarly article
title: Affinely rigid body and Hamiltonian systems on GL(n,\({\mathbb{R}})\)
zbMATH Open document ID: 0679.70010
DOI: 10.1016/0034-4877(88)90006-7
published in: Reports on Mathematical Physics
publication date: 1988-01-01T00:00:00Z
Mathematics Subject Classification ID: 70G45
Mathematics Subject Classification ID: 70A05
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 70E99
zbMATH DE Number: 4114137
zbMATH Keywords: Hamiltonian systems
zbMATH Keywords: affine group
zbMATH Keywords: pseudo-Riemannian structures
zbMATH Keywords: doubly- isotropic models
zbMATH Keywords: doubly-isotropic dynamics
zbMATH Keywords: hyperbolic-Sutherland lattices
author: J. J. Sławianowski
MaRDI profile type: Publication
full work available at URL: 0034-4877(88)90006-7
OpenAlex ID: W2027514541
cites work: Q4174811
cites work: Completely integrable systems and symplectic actions
cites work: Q4167627
cites work: Magnetohydrodynamical model of pulsar rotation. Exact periodic solutions
cites work: Q5345182
cites work: Q5615994
cites work: Q5594493
cites work: Groups of diffeomorphisms and the motion of an incompressible fluid
cites work: Q3696183
cites work: The moment map and collective motion
cites work: Hamiltonian group actions and dynamical systems of calogero type
cites work: Q4065118
cites work: Q4105328
cites work: The mechanics of an affinely-rigid body
cites work: Deformable gyroscope in a non-Euclidean space classical, nonrelativistic theory
cites work: The Mechanics of the Homogeneously‐Deformable Body. Dynamical Models with High Symmetries
cites work: Theory of nonlinear lattices
cites work: Q4059561
cites work: Statistical theory of dislocations
cites work: On the motion of concentrated defects in elastic media
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description: scientific article; zbMATH DE number 4114137