Remarks on Poisson Reduction on k-Symplectic Manifolds

Blaga, Adara M.

doi:10.7546/giq-10-2009-127-132

VOL. 10 | 2009 Remarks on Poisson Reduction on k-Symplectic Manifolds

Chapter Author(s) Adara M. Blaga

Editor(s) Ivaïlo M. Mladenov, Gaetano Vilasi, Akira Yoshioka

Geom. Integrability & Quantization, 2009: 127-132 (2009) DOI: 10.7546/giq-10-2009-127-132

Abstract

Two reduced standard $k$ -symplectic Poisson manifolds with respect to the action of a Lie group $G$ are considered, and the relation between the corresponding Poisson structures is established.

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Published: 1 January 2009

First available in Project Euclid: 13 July 2015

zbMATH: 1184.53078

MathSciNet: MR2757828

Digital Object Identifier: 10.7546/giq-10-2009-127-132

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Proceedings of the Tenth International Conference on Geometry, Integrability and Quantization

Vol. 10 • 1 January 2009

Bulgarian Academy of Sciences, Institute for Nuclear Research and Nuclear Energy

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