Kählerian extensions of the symplectic reduction.
P. Heinzner, F. Loose, A. Huckleberry (1994)
Journal für die reine und angewandte Mathematik
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P. Heinzner, F. Loose, A. Huckleberry (1994)
Journal für die reine und angewandte Mathematik
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David Ginzburg, S. Rallis, D. Soudry (1997)
Journal für die reine und angewandte Mathematik
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Jürgen Moser (1994)
Mathematische Zeitschrift
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Lars Hörmander (1995)
Mathematische Zeitschrift
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Ryszard Nest, Boris Tsygan (1996)
Journal für die reine und angewandte Mathematik
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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...
I. Ekeland, H. Hofer (1987-1988)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Bekka, M.B., Neuhauser, M. (2002)
Journal of Lie Theory
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