On sufficient orbits of a group of contact diffeomorphisms
Sbornik. Mathematics, Tome 33 (1977) no. 2, pp. 223-242
V. V. Lychagin. On sufficient orbits of a group of contact diffeomorphisms. Sbornik. Mathematics, Tome 33 (1977) no. 2, pp. 223-242. http://geodesic.mathdoc.fr/item/SM_1977_33_2_a3/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The coincidence of formal and actual sufficiency for orbits of the adjoint and conjugate actions of the group of germs of contact diffeomorphisms is proved. Bibliography: 6 titles.

[1] A. M. Vinogradov, “Algebra logiki differentsialnykh operatorov”, DAN SSSR, 205:5 (1972), 1025–1028 | MR | Zbl

[2] S. Sternberg, “On the structure of local homeomorphisms of Euclidean $n$-space, II”, Amer. J. Math., 80 (1958), 623–631 | DOI | MR | Zbl

[3] S. Sternberg, “The structure of local homeomorphisms, III”, Amer. J. Math., 81 (1959), 578–604 | DOI | MR | Zbl

[4] J. Williamson, “On the normal forms of linear canonical transformations in dynamics”, Amer. J. Math., 59:3 (1937), 599–61 | DOI | MR

[5] V. V. Lychagin, “Lokalnaya klassifikatsiya nelineinykh differentsialnykh uravnenii v chastnykh proizvodnykh pervogo poryadka”, Uspekhi matem. nauk, XXX:1(181) (1975), 101–171

[6] A. Weinstein, “Symplectic manifolds and their Lagrangian submanifolds”, Adw. Math., 6 (1971), 329–346 | DOI | MR | Zbl