The Tangent Space at a special symplectic instanton bunle on P2n+1.
Günther Trautmann, Giorgio Ottaviani (1994)
Manuscripta mathematica
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Günther Trautmann, Giorgio Ottaviani (1994)
Manuscripta mathematica
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J. Kurek, W. M. Mikulski (2003)
Annales Polonici Mathematici
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We describe all natural symplectic structures on the tangent bundles of symplectic and cosymplectic manifolds.
Huebschmann, Johannes
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Svatopluk Krýsl (2007)
Archivum Mathematicum
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Consider a flat symplectic manifold , , admitting a metaplectic structure. We prove that the symplectic twistor operator maps the eigenvectors of the symplectic Dirac operator, that are not symplectic Killing spinors, to the eigenvectors of the symplectic Rarita-Schwinger operator. If is an eigenvalue of the symplectic Dirac operator such that is not a symplectic Killing number, then is an eigenvalue of the symplectic Rarita-Schwinger operator.
Svatopluk Krýsl (2012)
Commentationes Mathematicae Universitatis Carolinae
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Let be a symplectic manifold admitting a metaplectic structure (a symplectic analogue of the Riemannian spin structure) and a torsion-free symplectic connection . Symplectic Killing spinor fields for this structure are sections of the symplectic spinor bundle satisfying a certain first order partial differential equation and they are the main object of this paper. We derive a necessary condition which has to be satisfied by a symplectic Killing spinor field. Using this condition one...
U.N. Bhosle-Desale (1984)
Mathematische Annalen
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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...