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Cotangent Bundle Reduction

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1913)

This chapter gives some additional background on symplectic reduction theory, the main topic being one of the most important cases, namely the symplectic reduction of cotangent bundles. The main results concerning cotangent bundle reduction make use of the theory of principal connections and so we provide the necessary background on this theory in the first section. The chapter closes with a description of the setting for the major topic of the book: reduction by stages.

Keywords

  • Symplectic Form
  • Symplectic Manifold
  • Symplectic Structure
  • Cotangent Bundle
  • Principal Bundle

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© 2007 Springer-Verlag Berlin Heidelberg

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(2007). Cotangent Bundle Reduction. In: Hamiltonian Reduction by Stages. Lecture Notes in Mathematics, vol 1913. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72470-4_2

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