On Hamiltonian submanifolds.
Popescu, Paul, Popescu, Marcela (2002)
Balkan Journal of Geometry and its Applications (BJGA)
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Popescu, Paul, Popescu, Marcela (2002)
Balkan Journal of Geometry and its Applications (BJGA)
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Popescu, Marcela, Popescu, Paul (2002)
Balkan Journal of Geometry and its Applications (BJGA)
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Boris Khesin (1993)
Recherche Coopérative sur Programme n°25
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Miyaoka, R. (1999)
Lobachevskii Journal of Mathematics
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L. Polterovich, M. Bialy (1992)
Geometric and functional analysis
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Charles-Michel Marle (2003)
Banach Center Publications
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E. Zenhder (1975)
Publications mathématiques et informatique de Rennes
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Misha Bialy, Leonid Polterovich (1992)
Mathematische Annalen
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Mauro Francaviglia, Demeter Krupka (1982)
Annales de l'I.H.P. Physique théorique
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Henryk Żołądek (2011)
Banach Center Publications
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The first and the second Painlevé equations are explicitly Hamiltonian with time dependent Hamilton function. By a natural extension of the phase space one gets corresponding autonomous Hamiltonian systems in ℂ⁴. We prove that the latter systems do not have any additional algebraic first integral. In the proof equations in variations with respect to a parameter are used.
Dana Smetanová (2006)
Archivum Mathematicum
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The aim of the paper is to announce some recent results concerning Hamiltonian theory. The case of second order Euler–Lagrange form non-affine in the second derivatives is studied. Its related second order Hamiltonian systems and geometrical correspondence between solutions of Hamilton and Euler–Lagrange equations are found.