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Geometric phases in the motion of rigid bodies

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Publication:684419
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DOI10.1007/BF00380255zbMath0782.70005MaRDI QIDQ684419

Mark Levi

Publication date: 15 September 1993

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)


zbMATH Keywords

rotorparallel transportGauss-Bonnet formulaconvex surfacesBerry's phase


Mathematics Subject Classification ID

Kinematics of a rigid body (70B10) Free motion of a rigid body (70E15)


Related Items (8)

Rolling of a body on a plane or a sphere: a geometric point of view ⋮ Geometric conditions for the existence of a rolling without twisting or slipping ⋮ The tennis racket effect in a three-dimensional rigid body ⋮ Signatures of physical constraints in rotating rigid bodies ⋮ How to control Chaplygin's sphere using rotors ⋮ Andoyer's variables and phases in the free rigid body ⋮ Twisting Somersault ⋮ Closed rotation sequences



Cites Work

  • The connection whose holonomy is the classical adiabatic angles of Hannay and Berry and its generalization to the non-integrable case
  • Stabilization of rigid body dynamics by internal and external torques
  • The Hannay angles: Geometry, adiabaticity, and an example
  • Quantal phase factors accompanying adiabatic changes
  • Classical non-adiabatic angles


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