Some remarks on the integration of the poisson algebra

Augustin Banyaga; Paul Donato

doi:10.1016/0393-0440(95)00039-9

Some remarks on the integration of the poisson algebra

Augustin Banyaga, Paul Donato

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Abstract

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.

Original language	English (US)
Pages (from-to)	368-378
Number of pages	11
Journal	Journal of Geometry and Physics
Volume	19
Issue number	4
DOIs	https://doi.org/10.1016/0393-0440(95)00039-9
State	Published - Aug 1996

All Science Journal Classification (ASJC) codes

Mathematical Physics
General Physics and Astronomy
Geometry and Topology

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10.1016/0393-0440(95)00039-9

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title = "Some remarks on the integration of the poisson algebra",

abstract = "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.",

author = "Augustin Banyaga and Paul Donato",

note = "Funding Information: * Corresponding author. E-mail: [email protected]. Universitt de Provence & CNRS U.R.A. 225. I E-mail: [email protected]. Partially supported by NSF grant DMS 94-03196.",

year = "1996",

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PY - 1996/8

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N2 - 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.

AB - 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.

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Some remarks on the integration of the poisson algebra

Abstract

All Science Journal Classification (ASJC) codes

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