Geometrical analysis of free rotation of a rigid body

DOI10.1088/0305-4470/31/28/020zbMath0963.70005OpenAlexW2020312779MaRDI QIDQ3836054

Tsutomu Kambe, Katsuhiro Suzuki, Yodai Watanabe

Publication date: 6 December 1999

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/31/28/020

zbMATH Keywords

Riemannian metricconnectiongeodesic equationgeodesic variationLie group SO(3)motion of rigid body about fixed pointRiemannian sectional curvatures

Mathematics Subject Classification ID

Free motion of a rigid body (70E15) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Stability problems in rigid body dynamics (70E50) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

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