Higher order Cartan connections.
Virsik, G. (1996)
Archivum Mathematicum
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Displaying similar documents to “On the geometrization of dynamics of special class of rheonomic holonomic systems”
Higher order Cartan connections.
Introduction to the theory of semi-holonomic jets.
Libermann, Paulette (1996)
Archivum Mathematicum
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Classical dynamics of non-holonomic systems : a geometric approach
Enrico Massa, Enrico Pagani (1991)
Annales de l'I.H.P. Physique théorique
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A direct geometrical construction of the dynamics of non-holonomic Lagrangian systems.
W. Sarlet (1996)
Extracta Mathematicae
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On prolongation of higher order connections
Miroslav Doupovec, Włodzimierz M. Mikulski (2011)
Annales Polonici Mathematici
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We describe all bundle functors G admitting natural operators transforming rth order holonomic connections on a fibered manifold Y → M into rth order holonomic connections on GY → M. For second order holonomic connections we classify all such natural operators.
On iteration of higher order jets and prolongation of connections
Miroslav Doupovec, Włodzimierz M. Mikulski (2011)
Annales Polonici Mathematici
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We introduce exchange natural equivalences of iterated nonholonomic, holonomic and semiholonomic jet functors, depending on a classical linear connection on the base manifold. We also classify some natural transformations of this type. As an application we introduce prolongation of higher order connections to jet bundles.
Order of holonomy and geometric objects of manifolds with connection
Ivan Kolář (1969)
Commentationes Mathematicae Universitatis Carolinae
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On the structure function of a -structure
Ivan Kolář, Iveta Vadovičová (1985)
Mathematica Slovaca
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Solving non-holonomic Lagrangian dynamics in terms of almost product structures.
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.