Principle of objectivity and classical physics.
Dutta, M., Basu, U. (1979)
International Journal of Mathematics and Mathematical Sciences
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Dutta, M., Basu, U. (1979)
International Journal of Mathematics and Mathematical Sciences
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Adolf Karger (1989)
Aplikace matematiky
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The paper contains the solution of the classification problem for all motions in the complex projective space, which have only plane trajectories. It is shown that each such motion is a submanifold of a maximal motion with the same property. Maximal projective space motions with only plane trajectories are determined by special linear submanifolds of dimensions 2, 3, 5, 8 in , they are denoted as and given by explicit expressions.
Karger, Adolf (1995)
Mathematica Pannonica
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Đ. S. Đukić (1979)
Zbornik Radova
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Manuel de León, David Martín de Diego (1996)
Extracta Mathematicae
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Given a Lagrangian system with non-holonomic constraints we construct an almost product structure on the tangent bundle of the configuration manifold such that the projection of the Euler-Lagrange vector field gives the dynamics of the system. In a degenerate case, we develop a constraint algorithm which determines a final constraint submanifold where a completely consistent dynamics of the initial system exists.
Michal Čech, Jana Musilová (2014)
Communications in Mathematics
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In this paper we derive general equations for constraint Noethertype symmetries of a first order non-holonomic mechanical system and the corresponding currents, i.e. functions constant along trajectories of the nonholonomic system. The approach is based on a consistent and effective geometrical theory of nonholonomic constrained systems on fibred manifolds and their jet prolongations, first presented and developed by Olga Rossi. As a representative example of application of the geometrical...
B. Popovic (1980)
Publications de l'Institut Mathématique [Elektronische Ressource]
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