Symmetries and Integrability
Božidar Jovanović (2008)
Publications de l'Institut Mathématique
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Displaying similar documents to “The Lagrange rigid body motion”
Symmetries and Integrability
The geometry of dynamics.
Alberto Ibort Latre (1996)
Extracta Mathematicae
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Lagrangian and hamiltonian aspects of Josephson type media
A. K. Prykarpatsky, J. A. Zagrodziński (1999)
Annales de l'I.H.P. Physique théorique
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On D’Alembert’s Principle
Larry M. Bates, James M. Nester (2011)
Communications in Mathematics
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A formulation of the D’Alembert principle as the orthogonal projection of the acceleration onto an affine plane determined by nonlinear nonholonomic constraints is given. Consequences of this formulation for the equations of motion are discussed in the context of several examples, together with the attendant singular reduction theory.
On the Principle of Stationary Isoenergetic Action
Božidar Jovanović (2012)
Publications de l'Institut Mathématique
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Linearization of Poisson actions and singular values of matrix products
Anton Alekseev, Eckhard Meinrenken, Chris Woodward (2001)
Annales de l’institut Fourier
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We prove that the linearization functor from the category of Hamiltonian -actions with group-valued moment maps in the sense of Lu, to the category of ordinary Hamiltonian - actions, preserves products up to symplectic isomorphism. As an application, we give a new proof of the Thompson conjecture on singular values of matrix products and extend this result to the case of real matrices. We give a formula for the Liouville volume of these spaces and obtain from it a hyperbolic version...