Sbornik. Mathematics, Tome 78 (1994) no. 2, pp. 479-506
Citer cet article
L. M. Lerman; Ya. L. Umanskii. Classification of four-dimensional integrable Hamiltonian systems and Poisson actions of. Sbornik. Mathematics, Tome 78 (1994) no. 2, pp. 479-506. http://geodesic.mathdoc.fr/item/SM_1994_78_2_a12/
@article{SM_1994_78_2_a12,
author = {L. M. Lerman and Ya. L. Umanskii},
title = {Classification of four-dimensional integrable {Hamiltonian} systems and {Poisson} actions of},
journal = {Sbornik. Mathematics},
pages = {479--506},
year = {1994},
volume = {78},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1994_78_2_a12/}
}
TY - JOUR
AU - L. M. Lerman
AU - Ya. L. Umanskii
TI - Classification of four-dimensional integrable Hamiltonian systems and Poisson actions of
JO - Sbornik. Mathematics
PY - 1994
SP - 479
EP - 506
VL - 78
IS - 2
UR - http://geodesic.mathdoc.fr/item/SM_1994_78_2_a12/
LA - en
ID - SM_1994_78_2_a12
ER -
%0 Journal Article
%A L. M. Lerman
%A Ya. L. Umanskii
%T Classification of four-dimensional integrable Hamiltonian systems and Poisson actions of
%J Sbornik. Mathematics
%D 1994
%P 479-506
%V 78
%N 2
%U http://geodesic.mathdoc.fr/item/SM_1994_78_2_a12/
%G en
%F SM_1994_78_2_a12
Integrable Hamiltonian systems and Poisson actions of the group $\mathbb{R}^2$ with simple singular points on a smooth ($C^\infty$ or real-analytic) four-dimensional symplectic manifold $(M,\Omega)$ are studied, where $\Omega$ is a symplectic 2-form.
[3] Goluzin G. M., Geometricheskaya teoriya funktsii kompleksnogo peremennogo, Nauka, M., 1966 | MR
[4] Fomenko A. T., “Topologiya poverkhnostei postoyannoi energii integriruemykh gamiltonovykh sistem i prepyatstviya k integriruemosti”, Izv. AN SSSR. Ser. matem., 50:6 (1986), 1276–1307 | MR | Zbl
[5] Lerman L. M., Umanskii Ya. L., “O suschestvovanii petel separatris v chetyrekhmernykh sistemakh, blizkikh k integriruemym gamiltonovym.”, Prikl. matem. mekh, 47:3, 395–401 | MR | Zbl
[6] Bolsinov A. V., “Methods of calculation of the Fomenko-Zieschang invariant”, Adv. in Soviet Math., 6 (1991), 147–183 | MR | Zbl