Equivalence of higher-order Lagrangians. II. The Cartan form for particle Lagrangians

Lucas Hsu; Niky Kamran; Peter J. Olver

doi:10.1063/1.528358

Equivalence of higher-order Lagrangians. II. The Cartan form for particle Lagrangians

Lucas Hsu, Niky Kamran, Peter J. Olver

School of Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

It is shown how Cartan's method of equivalence may be used to obtain the Cartan form for an r th-order particle Lagrangian on the line by solving the standard equivalence problem under contact transformations on the jet bundle J ^{r + k} for k>r -1.

Original language	English (US)
Pages (from-to)	902-906
Number of pages	5
Journal	Journal of Mathematical Physics
Volume	30
Issue number	4
DOIs	https://doi.org/10.1063/1.528358
State	Published - 1989

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title = "Equivalence of higher-order Lagrangians. II. The Cartan form for particle Lagrangians",

abstract = "It is shown how Cartan's method of equivalence may be used to obtain the Cartan form for an r th-order particle Lagrangian on the line by solving the standard equivalence problem under contact transformations on the jet bundle J r + k for k>r -1.",

author = "Lucas Hsu and Niky Kamran and Olver, {Peter J.}",

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AU - Kamran, Niky

AU - Olver, Peter J.

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AB - It is shown how Cartan's method of equivalence may be used to obtain the Cartan form for an r th-order particle Lagrangian on the line by solving the standard equivalence problem under contact transformations on the jet bundle J r + k for k>r -1.

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Equivalence of higher-order Lagrangians. II. The Cartan form for particle Lagrangians

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