Some remarks on the integration of the poisson algebra

Augustin Banyaga, Paul Donato

Research output: Contribution to journalArticle

1 Citation (Scopus)

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 languageEnglish (US)
Pages (from-to)368-378
Number of pages11
JournalJournal of Geometry and Physics
Volume19
Issue number4
DOIs
StatePublished - Jan 1 1996

Fingerprint

Poisson Algebra
algebra
Noncompact Manifold
Symplectic Manifold
Compact Support
Compact Manifold
Integrability
Subalgebra
Vector Field
Integrate

All Science Journal Classification (ASJC) codes

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Geometry and Topology

Cite this

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Some remarks on the integration of the poisson algebra. / Banyaga, Augustin; Donato, Paul.

In: Journal of Geometry and Physics, Vol. 19, No. 4, 01.01.1996, p. 368-378.

Research output: Contribution to journalArticle

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