Variational connections on Lie groups

DOI10.1016/S0926-2245(02)00161-4zbMath1021.37038WikidataQ115338080 ScholiaQ115338080MaRDI QIDQ1405262

Gerard Thompson

Publication date: 25 August 2003

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

zbMATH Keywords

Euler-Lagrange equationsvariational principlegeodesic sprayCanonical connection

Mathematics Subject Classification ID

Related Items (7)

Finsler geodesics of Lagrangian systems through Routh reduction ⋮ The inverse problem for six-dimensional codimension two nilradical lie algebras ⋮ Invariant metrizability and projective metrizability on Lie groups and homogeneous spaces ⋮ Jacobi fields and conjugate points for a projective class of sprays ⋮ Un-reduction of systems of second-order ordinary differential equations ⋮ Inverse problem of the calculus of variations on Lie groups ⋮ An invariant variational principle for canonical flows on Lie groups

Cites Work

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• The integrability conditions in the inverse problem of the calculus of variations for second-order ordinary differential equations
• Sur le problème inverse du calcul des variations : existence de lagrangiens associés à un spray dans le cas isotrope. (On the inverse problem of the variational calculus: existence of Lagrangians associated with a spray in the isotropic case.)
• The theory of sprays and Finsler spaces with applications in physics and biology
• The inverse problem of the calculus of variations: Separable systems
• Toward a classification of dynamical symmetries in classical mechanics
• The inverse problem of the calculus of variations for ordinary differential equations
• Variational and integrable connections
• Towards a geometrical understanding of Douglas's solution of the inverse problem of the calculus of variations

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