The inverse problem for flat kinetic minus potencial Lagrangians.

G. Thompson; G. E. Prince

Displaying similar documents to “The inverse problem for flat kinetic minus potencial Lagrangians.”

Geometric mechanics on nonholonomic submanifolds

Olga Krupková (2010)

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.

Svetlichny, George (2008)

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

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Generalized Birkhoffian realization of nonholonomic systems

Yong-Xin Guo, Chang Liu, Shi-Xing Liu (2010)

Communications in Mathematics

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Based on the Cauchy-Kowalevski theorem for a system of partial differential equations to be integrable, a kind of generalized Birkhoffian systems (GBSs) with local, analytic properties are put forward, whose manifold admits a presymplectic structure described by a closed 2-form which is equivalent to the self-adjointness of the GBSs. Their relations with Birkhoffian systems, generalized Hamiltonian systems are investigated in detail. Analytic, algebraic and geometric properties of GBSs...

On the geometries of superior order.

Miron, Radu (1996)

Balkan Journal of Geometry and its Applications (BJGA)

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On nonlinear connections in higher order Lagrange spaces.

Roman, Marcel (2008)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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

David Saunders (2010)

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.