Motion of test rigid bodies in Riemannian spaces.

DOI10.1016/S0034-4877(01)80068-9zbMath1038.70011WikidataQ115339958 ScholiaQ115339958MaRDI QIDQ696317

Barbara Gołubowska

Publication date: 12 September 2002

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

zbMATH Keywords

configuration spacesHamiltonian systemsLorentz groupsspherical spaceinternal degrees of freedomco-moving orthonormal frameconstant curvature two-dimensional spaceshigher-dimensional rotationrigid bodies of infinitesimal sizestructured material point

Mathematics Subject Classification ID

Dynamics of a system of particles, including celestial mechanics (70F99) Applications of global differential geometry to the sciences (53C80) 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)

Related Items (6)

Affine models of internal degrees of freedom and their action-angle description. ⋮ 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 ⋮ Quantization of systems with internal degrees of freedom in two-dimensional manifolds ⋮ Models of internal degrees of freedom based on classical groups and their homogeneous spaces.

Cites Work

• Affinely rigid body and Hamiltonian systems on GL(n,\({\mathbb{R}})\)
• Reduction of the two-body problem with central interaction on simply connected spaces of constant sectional curvature
• Spinning test-particles in general relativity. I
• Ricci-Calculus
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