The mechanics of an affinely-rigid body

DOI10.1007/BF01809867zbMath0351.70014OpenAlexW1969739529MaRDI QIDQ1235516

Jan Jerzy Sławianowski

Publication date: 1975

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01809867

Mathematics Subject Classification ID

Dynamics of a system of particles, including celestial mechanics (70F99) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Topological transformation groups (57S99) Dynamics of a rigid body and of multibody systems (70E99) General models, approaches, and methods in mechanics of particles and systems (70G99) General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to mechanics of particles and systems (70-00)

Related Items (15)

Classical mechanics of a breathing top ⋮ Field of linear frames as a fundamental self-interacting system ⋮ Lie-algebraic solutions of affinely-invariant equations for the field of linear frames ⋮ Affine models of internal degrees of freedom and their action-angle description. ⋮ Linear frames in manifolds, Riemannian structures and description of internal degrees of freedom. ⋮ Classical dynamics of fullerenes ⋮ Graded contractions of \(sp(3,\mathbb{R})\) ⋮ Some aspects of affine motion and nonholonomic constraints. Two ways to describe homogeneously deformable bodies ⋮ Constraints and symmetry in mechanics of affine motion ⋮ Affine symmetry in mechanics of collective and internal modes. I: Classical models ⋮ Graded contractions of symplectic Lie algebras in collective models ⋮ Deformable gyroscope in a non-Euclidean space classical, nonrelativistic theory ⋮ Affinely-rigid motion in amorphous spaces ⋮ Affinely rigid body and Hamiltonian systems on GL(n,\({\mathbb{R}})\) ⋮ Models of internal degrees of freedom based on classical groups and their homogeneous spaces.

Cites Work

• Fibre bundles associated with space-time
• Fokker Action Principle for Particles with Charge, Spin, and Magnetic Moment
• Geodesics and Classical Mechanics on Lie Groups
• Generalized Hamiltonian Dynamics
• Non-Linear Field Theories II. Canonical Equations and Quantization
• The Hamiltonian Form of Field Dynamics
• The asymmetric rotator in quantum mechanics
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The mechanics of an affinely-rigid body