Dirac reduction of dual poisson-presymplectic pairs
2004 (English)In: Journal of Physics A: Mathematical and General, ISSN 0305-4470, Vol. 37, no 19, 5173-5187 p.Article in journal (Refereed) Published
A new notion of a dual Poisson-presymplectic pair is introduced and its properties are examined. The procedure of Dirac reduction of Poisson operators onto submanifolds proposed by Dirac is in this paper embedded in a geometric procedure of reduction of dual Poisson-presymplectic pairs. The method presented generalizes those introduced by J Marsden and T Ratiu for reductions of Poisson manifolds. Two examples are given.
Place, publisher, year, edition, pages
2004. Vol. 37, no 19, 5173-5187 p.
Engineering and Technology
IdentifiersURN: urn:nbn:se:liu:diva-24256DOI: 10.1088/0305-4470/37/19/005Local ID: 3858OAI: oai:DiVA.org:liu-24256DiVA: diva2:244573