Third order ordinary differential equations and Legendre connections

SATO, Hajime; YOSHIKAWA, Atsuko Yamada

J. Math. Soc. Japan, Tome 50 (1998) no. 4, p. 993-1013 / Harvested from Project Euclid

Résumé

We use N. Tanaka's theory of normal Cartan connections associated with simple graded Lie algebras to study Cartan's equivalence problem of single third order ordinary differential equations under contact transformations. As a result we obtain the complete structure equation with two differential inv riants, which is applied on general Legendre Grassmann bundles of three-dimensional contact manifolds.

Publié le : 1998-10-15
Classification: 34Cxx, 58Axx

@article{1225113605,
     author = {SATO, Hajime and YOSHIKAWA, Atsuko Yamada},
     title = {Third order ordinary differential equations and Legendre connections},
     journal = {J. Math. Soc. Japan},
     volume = {50},
     number = {4},
     year = {1998},
     pages = { 993-1013},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1225113605}
}

SATO, Hajime; YOSHIKAWA, Atsuko Yamada. Third order ordinary differential equations and Legendre connections. J. Math. Soc. Japan, Tome 50 (1998) no. 4, pp.  993-1013. http://gdmltest.u-ga.fr/item/1225113605/