Geometric prequantization of a generalized mechanical system.
Wainberg, Dorin (2007)
Acta Universitatis Apulensis. Mathematics - Informatics
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Displaying similar documents to “Representation of non-Hamiltonian vector fields in the coordinates of the observer via the isosymplectic geometry.”
Geometric prequantization of a generalized mechanical system.
Canonical symplectic structures on the r-th order tangent bundle of a symplectic manifold.
Jan Kurek, Wlodzimierz M. Mikulski (2006)
Extracta Mathematicae
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We describe all canonical 2-forms Λ(ω) on the r-th order tangent bundle TM = J (;M) of a symplectic manifold (M, ω). As a corollary we deduce that all canonical symplectic structures Λ(ω) on TM over a symplectic manifold (M, ω) are of the form Λ(ω) = Σ αω for all real numbers α with α ≠ 0, where ω is the (k)-lift (in the sense of A. Morimoto) of ω to TM.
Connections on -symplectic manifolds.
Blaga, Adara M. (2009)
Balkan Journal of Geometry and its Applications (BJGA)
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Symplectic twistor operator and its solution space on
Marie Dostálová, Petr Somberg (2013)
Archivum Mathematicum
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We introduce the symplectic twistor operator in symplectic spin geometry of real dimension two, as a symplectic analogue of the Dolbeault operator in complex spin geometry of complex dimension 1. Based on the techniques of the metaplectic Howe duality and algebraic Weyl algebra, we compute the space of its solutions on .
On the geometry of the standard -symplectic and Poisson manifolds.
Blaga, Adara M. (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
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Maslov index for Hamiltonian systems.
Portaluri, Alessandro (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Ellipticity of the symplectic twistor complex
Svatopluk Krýsl (2011)
Archivum Mathematicum
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For a Fedosov manifold (symplectic manifold equipped with a symplectic torsion-free affine connection) admitting a metaplectic structure, we shall investigate two sequences of first order differential operators acting on sections of certain infinite rank vector bundles defined over this manifold. The differential operators are symplectic analogues of the twistor operators known from Riemannian or Lorentzian spin geometry. It is known that the mentioned sequences form complexes if the...