Classification of four-dimensional integrable Hamiltonian systems and Poisson actions of~$\mathbb{R}^2$ in extended neighborhoods of simple singular points.~I
Sbornik. Mathematics, Tome 77 (1994) no. 2, pp. 511-542
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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.
@article{SM_1994_77_2_a15,
author = {L. M. Lerman and Ya. L. Umanskii},
title = {Classification of four-dimensional integrable {Hamiltonian} systems and {Poisson} actions of~$\mathbb{R}^2$ in extended neighborhoods of simple singular {points.~I}},
journal = {Sbornik. Mathematics},
pages = {511--542},
publisher = {mathdoc},
volume = {77},
number = {2},
year = {1994},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1994_77_2_a15/}
}
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AU - Ya. L. Umanskii
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PY - 1994
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L. M. Lerman; Ya. L. Umanskii. Classification of four-dimensional integrable Hamiltonian systems and Poisson actions of~$\mathbb{R}^2$ in extended neighborhoods of simple singular points.~I. Sbornik. Mathematics, Tome 77 (1994) no. 2, pp. 511-542. http://geodesic.mathdoc.fr/item/SM_1994_77_2_a15/