Dynamics of affinely-rigid bodies with degenerate dimension

DOI10.1016/S0034-4877(05)80087-4zbMath1185.70008OpenAlexW2036779054MaRDI QIDQ817434

Ewa Eliza Rożko

Publication date: 16 March 2006

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(05)80087-4

zbMATH Keywords

homogeneous spacesStiefel manifoldGrassmann manifoldstationary solutionslinear groupsaffinely-rigid bodies

Mathematics Subject Classification ID

Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Dynamics of a rigid body and of multibody systems (70E99) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)

Related Items (9)

Classical dynamics of fullerenes ⋮ Some aspects of affine motion and nonholonomic constraints. Two ways to describe homogeneously deformable bodies ⋮ Constraints and symmetry in mechanics of affine motion ⋮ Motion of test bodies with internal degrees of freedom in non-Euclidean spaces ⋮ Quantization of systems with internal degrees of freedom in two-dimensional manifolds ⋮ Quantization of affinely-rigid bodies with degenerate dimension ⋮ Schrödinger and related equations as Hamiltonian systems, manifolds of second-order tensors and new ideas of nonlinearity in quantum mechanics ⋮ Dynamics of affinely deformable bodies from the standpoint of theoretical mechanics and differential geometry ⋮ Mechanics of systems of affine bodies. Geometric foundations and applications in dynamics of structured media

Cites Work

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• Magnetohydrodynamical model of pulsar rotation. Exact periodic solutions
• The Mechanics of the Homogeneously‐Deformable Body. Dynamical Models with High Symmetries
• Hamiltonian Systems Near Relative Periodic Orbits

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