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Dynamical invariants of rigid motions on the hyperbolic plane

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Publication:756710
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DOI10.1007/BF00147409zbMath0723.53008MaRDI QIDQ756710

Péter T. Nagy

Publication date: 1991

Published in: Geometriae Dedicata (Search for Journal in Brave)


zbMATH Keywords

isometry groupkinetic energyhyperbolic planeleft invariant metricsdynamical invariantsrigid particle system


Mathematics Subject Classification ID

Applications of local differential geometry to the sciences (53B50) Non-Euclidean differential geometry (53A35) (n)-body problems (70F10)


Related Items (7)

Two-body problem on two-point homogeneous spaces, invariant differential operators and the mass center concept. ⋮ Force free projective motions of the sphere ⋮ An analytical approach to the external force-free motion of pendulums on surfaces of constant curvature ⋮ Rigid body dynamics in non-Euclidean spaces ⋮ The dynamics of pendulums on surfaces of constant curvature ⋮ On the dynamics of a rigid body in the hyperbolic space ⋮ Force free conformal motions of the sphere.







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