A Symplectic Fixed Point Theorem on ... .
Yong-Geun Oh (1990)
Mathematische Zeitschrift
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Yong-Geun Oh (1990)
Mathematische Zeitschrift
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Helmut Hofer, Ivar Ekeland (1990)
Mathematische Zeitschrift
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H. Hofer, I. Ekeland (1988/89)
Mathematische Zeitschrift
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Karl Friedrich Siburg (1993)
Manuscripta mathematica
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Bekka, M.B., Neuhauser, M. (2002)
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I. Ekeland, H. Hofer (1987-1988)
Séminaire Équations aux dérivées partielles (Polytechnique)
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L. Polterovich (1996)
Geometric and functional analysis
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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...