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

Lucas Hsu, Niky Kamran, Peter J. Olver

Research output: Contribution to journalArticlepeer-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 languageEnglish (US)
Pages (from-to)902-906
Number of pages5
JournalJournal of Mathematical Physics
Volume30
Issue number4
DOIs
StatePublished - Jan 1 1989

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