ON THE GEOMETRY OF THE SCHMIDT-LEGENDRE TRANSFORMATION
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Amer Inst Mathematical Sciences-Aims
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
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.
Açıklama
Anahtar Kelimeler
Ostrogradsky-Legendre transformation, Schmidt-Legendre transformation, second order degenerate Lagrangian systems, Tulczyjew's triple
Kaynak
Journal of Geometric Mechanics
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Cilt
10
Sayı
3
