Connections on -symplectic manifolds.
Blaga, Adara M. (2009)
Balkan Journal of Geometry and its Applications (BJGA)
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Displaying similar documents to “Homotopy theory and circle actions on symplectic manifolds”
Connections on -symplectic manifolds.
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.
On the geometry of the standard -symplectic and Poisson manifolds.
Blaga, Adara M. (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
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Examples of circle actions on symplectic spaces
Christopher Allday (1998)
Banach Center Publications
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4-dimensional c-symplectic -manifolds with non-empty fixed point set need not be c-Hamiltonian
Akio Hattori (1998)
Banach Center Publications
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The aim of this article is to answer a question posed by J. Oprea in his talk at the Workshop "Homotopy and Geometry".
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...