On the geometry of the schmidt-legendre transformation

Oğul Esen, Partha Guha

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


Tulczyjew's triples are constructed for the Schmidt-Legendre transformations of both second and third-order Lagrangians. Symplectic diffeomorphisms relating the Ostrogradsky-Legendre and the Schmidt-Legendre transformations are derived. Several examples are presented.

Original languageBritish English
Pages (from-to)251-291
Number of pages41
JournalJournal of Geometric Mechanics
Issue number3
StatePublished - Sep 2018


  • Ostrogradsky-Legendre transformation
  • Schmidt-Legendre transformation
  • Second order degenerate Lagrangian systems
  • Tulczyjew's triple


Dive into the research topics of 'On the geometry of the schmidt-legendre transformation'. Together they form a unique fingerprint.

Cite this