On inhomogeneous linear automorphisms of simple Hamiltonian systems

DOI10.1007/BF02416476zbMath0358.70018OpenAlexW1998894900MaRDI QIDQ1238449

Toshihiro Iwai, Mineo Ikeda

Publication date: 1976

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02416476

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Hamiltonian and Lagrangian mechanics (70H99) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Cites Work

• On quadratic first integrals of a particular natural system in classical mechanics
• The Unitary Group U(m) as the Symmetry Group of Curved Phase Space
• On n-Dimensional Riemannian Spaces Admitting a Group of Motions of Order n(n-1)/2 + 1
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