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arXiv · 2511.16607

Reduction of exact symplectic manifolds and energy hypersurfaces

J. Lange·B. M. Zawora
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Abstract

This article introduces two reduction schemes for Hamiltonian systems on an exact symplectic manifold admitting Lie group symmetries. It is demonstrated that these reduction procedures are equivalent by employing a modified Marsden-Meyer-Weinstein reduction theorem for exact symplectic manifolds and contact manifolds given by energy hypersurfaces. Each approach is illustrated through an example.

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J. Lange, B. M. Zawora. 2025-11-20. Reduction of exact symplectic manifolds and energy hypersurfaces. https://doi.org/10.1007/978-3-032-03924-8_34

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