On the dynamics of a rigid body in the hyperbolic space

DOI10.1016/S0393-0440(00)00017-6zbMath0983.53049WikidataQ127251352 ScholiaQ127251352MaRDI QIDQ1589697

Marcos Salvai

Publication date: 23 April 2002

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

zbMATH Keywords

isometry grouphyperbolic spacedynamics of a rigid bodydynamical centerhomogeneous Riemannian geometry

Mathematics Subject Classification ID

Free motion of a rigid body (70E15) Applications of global differential geometry to the sciences (53C80) Geodesics in global differential geometry (53C22)

Related Items (7)

Two-body problem on two-point homogeneous spaces, invariant differential operators and the mass center concept. ⋮ Unnamed Item ⋮ Force free projective motions of the sphere ⋮ Rigid body dynamics in non-Euclidean spaces ⋮ On the motion of a solid body on spherical surfaces ⋮ The dynamics of pendulums on surfaces of constant curvature ⋮ Force free conformal motions of the sphere.

Cites Work

• Dynamical invariants of rigid motions on the hyperbolic plane
• Die Dynamik des starren Körpers in einem nichteuklidischen Raum
• SOME REMARKS ON THE MOTION OF A RIGID BODY IN A SPACE OF CONSTANT CURVATURE WITHOUT EXTERNAL FORCES1
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