Hamiltonian systems on almost cosymplectic manifolds

DOI10.1016/j.geomphys.2022.104700OpenAlexW4308498849MaRDI QIDQ2107518

Stefan Berceanu

Publication date: 1 December 2022

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

Full work available at URL: https://arxiv.org/abs/2201.01962

zbMATH Keywords

Hamiltonian systemsJacobi groupalmost cosymplectic manifoldSiegel-Jacobi disk

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Hamilton's equations (70H05) Almost contact and almost symplectic manifolds (53D15) Canonical transformations in symplectic and contact geometry (53D22) Contact systems (37J55) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)

Related Items (1)

Pseudo-symmetric almost cosymplectic 3-manifolds

Cites Work

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• General concept of quantization
• Balanced metric and Berezin quantization on the Siegel-Jacobi ball
• Le théorème de réduction de Marsden-Weinstein en géométrie cosymplectique et de contact. (The Marsden-Weinstein reduction theorem in cosymplectic and contact geometry)
• The theory of Jacobi forms
• Some global properties of contact structures
• Topology of co-symplectic/co-Kähler manifolds
• On differentiable manifolds with contact metric structures
• Contact manifolds in Riemannian geometry
• Les variétés de Jacobi et leurs algèbres de Lie associees
• Contact Hamiltonian and Lagrangian systems with nonholonomic constraints
• Invariant metrics and Laplacians on Siegel-Jacobi disk
• The real Jacobi group revisited
• Invariant metrics and Laplacians on Siegel-Jacobi space
• Lectures on Kähler manifolds
• On differentiable manifolds with certain structures which are closely related to almost contact structure. I
• Invariant metric on the extended Siegel-Jacobi upper half space
• Locally Sasakian manifolds
• A SURVEY ON COSYMPLECTIC GEOMETRY
• ON THE GEOMETRY OF SIEGEL–JACOBI DOMAINS
• A PARTIAL CAYLEY TRANSFORM OF SIEGEL-JACOBI DISK
• The Sasakian Geometry of the Heisenberg Group
• Applications of the Jacobi group to Quantum Mechanics
• Gradient vector fields on cosymplectic manifolds
• QUANTIZATION
• QUANTIZATION IN COMPLEX SYMMETRIC SPACES
• LOCAL LIE ALGEBRAS
• Mathematische Werke / Mathematical Works
• ERRATA: "A HOLOMORPHIC REPRESENTATION OF THE JACOBI ALGEBRA"
• CONSEQUENCES OF THE FUNDAMENTAL CONJECTURE FOR THE MOTION ON THE SIEGEL–JACOBI DISK
• Riemannian geometry of contact and symplectic manifolds
• Elements of the representation theory of the Jacobi group

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