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Canonical reduction on cotangent symplectic manifolds with group action and on associated principal fiber bundles with connection

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Nonlinear Oscillations

Abstract

We study properties of the canonical reduction method on cotangent symplectic manifolds with group action. We demonstrate a deep inner relationship between reduced symplectic structures and canonical connections on associated principal fiber bundles.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kyiv

    Ya. A. Prykarpats’kyi

  2. AGH University of Science and Technology, Krakow, Poland

    Ya. A. Prykarpats’kyi

Authors
  1. Ya. A. Prykarpats’kyi
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Translated from Neliniini Kolyvannya, Vol. 9, No. 1, pp. 98½-108, January–March, 2006.

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Prykarpats’kyi, Y.A. Canonical reduction on cotangent symplectic manifolds with group action and on associated principal fiber bundles with connection. Nonlinear Oscill 9, 96–106 (2006). https://doi.org/10.1007/s11072-006-0028-z

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  • DOI: https://doi.org/10.1007/s11072-006-0028-z

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