An exterior calculus for exact symplectic manifolds

A calculus for exact symplectic manifolds is presented. It consists of the familiar exterior calculus augmented by a set of operations, algebraic and differential, admitted naturally by the exact symplectic structure of the underlying space. The result is a high level calculus that is particularly w...

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Bibliographic Details
Published in:Journal of mathematical physics 1995-03, Vol.36 (3), p.1413-1425
Main Authors: Frescura, F. A. M., Lubczonok, G.
Format: Article
Language:English
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Summary:A calculus for exact symplectic manifolds is presented. It consists of the familiar exterior calculus augmented by a set of operations, algebraic and differential, admitted naturally by the exact symplectic structure of the underlying space. The result is a high level calculus that is particularly well suited to deal with problems on this type of manifold. Natural differential operators admitted by an exact symplectic structure are identified. The results are also applied to the de Rham cohomology of this type of manifold.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.531130