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Integrable equations, related with the Poisson algebra

✍ Scribed by M. I. Golenishcheva-Kutuzova; A. G. Reiman


Publisher
Springer US
Year
1991
Tongue
English
Weight
299 KB
Volume
54
Category
Article
ISSN
1573-8795

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Some remarks on the integration of the P
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We prove the integrability of the Poisson algebra of functions with compact supports of a noncompact manifold. We also determine a Lie subalgebra of vector fields which, weakly, integrate the Poisson algebra of a not necessarily compact manifold covered by an exact symplectic manifold.