On the geometry of the standard -symplectic and Poisson manifolds.
Blaga, Adara M. (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
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Displaying similar documents to “Generalized polarized manifolds.”
On the geometry of the standard -symplectic and Poisson manifolds.
Geometric prequantization of a generalized mechanical system.
Wainberg, Dorin (2007)
Acta Universitatis Apulensis. Mathematics - Informatics
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A new geometrical framework for time-dependent Hamiltonian mechanics.
Enrico Massa, Stefano Vignolo (2003)
Extracta Mathematicae
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Connections on -symplectic manifolds.
Blaga, Adara M. (2009)
Balkan Journal of Geometry and its Applications (BJGA)
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Geometric structures on spaces of weighted submanifolds.
Lee, Brian (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Some results for generalized cochains.
Wainberg, Dorin (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
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Contact Homology, Capacity and Non-Squeezing in via Generating Functions
Sheila Sandon (2011)
Annales de l’institut Fourier
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Starting from the work of Bhupal we extend to the contact case the Viterbo capacity and Traynor’s construction of symplectic homology. As an application we get a new proof of the Non-Squeezing Theorem of Eliashberg, Kim and Polterovich.
Weakly nonlocal Hamiltonian structures: Lie derivative and compatibility.
Sergyeyev, Artur (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Induced differential forms on manifolds of functions
Cornelia Vizman (2011)
Archivum Mathematicum
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Differential forms on the Fréchet manifold of smooth functions on a compact -dimensional manifold can be obtained in a natural way from pairs of differential forms on and by the hat pairing. Special cases are the transgression map (hat pairing with a constant function) and the bar map (hat pairing with a volume form). We develop a hat calculus similar to the tilda calculus for non-linear Grassmannians [6].
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.