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Poisson fiber bundles and coupling Dirac structures

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Abstract

Poisson fiber bundles are studied. We give sufficient conditions for the existence of a Dirac structure on the total space of a Poisson fiber bundle endowed with a compatible connection. We also provide some examples.

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Authors and Affiliations

  1. Department of Mathematics, The Pennsylvania State University, University Park, PA, 16802, USA

    Aïssa Wade

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  1. Aïssa Wade
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Correspondence to Aïssa Wade.

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Communicated by: T. Ratiu (Lausanne).

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Wade, A. Poisson fiber bundles and coupling Dirac structures. Ann Glob Anal Geom 33, 207–217 (2008). https://doi.org/10.1007/s10455-007-9079-3

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  • DOI: https://doi.org/10.1007/s10455-007-9079-3

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