## Displaying similar documents to “Lepage forms theory applied”

### Geometric mechanics on nonholonomic submanifolds

Communications in Mathematics

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In this survey article, nonholonomic mechanics is presented as a part of geometric mechanics. We follow a geometric setting where the constraint manifold is a submanifold in a jet bundle, and a nonholonomic system is modelled as an exterior differential system on the constraint manifold. The approach admits to apply coordinate independent methods, and is not limited to Lagrangian systems under linear constraints. The new methods apply to general (possibly nonconservative) mechanical...

### Equivariance, variational principles, and the Feynman integral.

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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### Several examples of nonholonomic mechanical systems

Communications in Mathematics

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A unified geometric approach to nonholonomic constrained mechanical systems is applied to several concrete problems from the classical mechanics of particles and rigid bodies. In every of these examples the given constraint conditions are analysed, a corresponding constraint submanifold in the phase space is considered, the corresponding constrained mechanical system is modelled on the constraint submanifold, the reduced equations of motion of this system (i.e. equations of motion defined...

### Connections between symmetries and conservation laws.

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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### The variational principle for the uniform acceleration and quasi-spin in two dimensional space-time.

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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### Some geometric aspects of the calculus of variations in several independent variables

Communications in Mathematics

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This paper describes some recent research on parametric problems in the calculus of variations. It explains the relationship between these problems and the type of problem more usual in physics, where there is a given space of independent variables, and it gives an interpretation of the first variation formula in this context in terms of cohomology.