The strong, semi-strong, and quasi-semi-strong bordism groups of integrable Hamiltonian systems of differential equations with two degrees of freedomстатья
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Дата последнего поиска статьи во внешних источниках: 24 мая 2016 г.
Местоположение издательства:Road Town, United Kingdom
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Аннотация:In this paper an integrable Hamiltonian system v is a nonresonant one on a closed isoenergy 3-manifold Q(3). Roughly speaking, two such systems (v(1), Q(1)) and (v(2), Q(2)) are called cobordant if they are the restrictions to Q(1) = {H = c(1)} and Q(2) = {H = c(2)} of the same integrable system v = sgrad H on a 4-manifold M(4). We formalize this idea and introduce three different notions of bordisms for integrable Hamiltonian systems. Then we investigate the corresponding bordism groups.