A universal model for cosymplectic manifolds

DOI10.1016/0393-0440(96)00047-2zbMath0861.53026OpenAlexW2010863260WikidataQ127631944 ScholiaQ127631944MaRDI QIDQ1924398

Manuel de León, Gijs M. Tuynman

Publication date: 14 April 1997

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0393-0440(96)00047-2

zbMATH Keywords

Reeb vector fieldfinite typecanonical projectioncosymplectic manifoldcoisotropic

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items

Classification of infinitesimal symmetries in covariant classical mechanics ⋮ Special bracket versus Jacobi bracket on the classical phase space of general relativistic test particle ⋮ Quantum potential in covariant quantum mechanics ⋮ Cosymplectic and contact structures for time-dependent and dissipative Hamiltonian systems ⋮ GEOMETRIC STRUCTURES OF THE CLASSICAL GENERAL RELATIVISTIC PHASE SPACE ⋮ On the structure of co-Kähler manifolds ⋮ Universal models via embedding and reduction for locally conformal symplectic structures ⋮ Generalized geometrical structures of odd dimensional manifolds ⋮ A SURVEY ON COSYMPLECTIC GEOMETRY ⋮ Reviewing the geometric Hamilton–Jacobi theory concerning Jacobi and Leibniz identities ⋮ Integrable systems in cosymplectic geometry

Cites Work

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• \(R^{2n}\) is a universal symplectic manifold for reduction
• Le théorème de réduction de Marsden-Weinstein en géométrie cosymplectique et de contact. (The Marsden-Weinstein reduction theorem in cosymplectic and contact geometry)
• Gradient vector fields on cosymplectic manifolds
• Cosymplectic reduction for singular momentum maps