Displaying similar documents to “On the geometry of the Virasoro-Bott group.”

On the geometric structure of the set of solutions of Einstein equations

Wiktor Szczyrba

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CONTENTS1. Introduction .......................................................................................................................................................... 52. Notation and preliminary remarks............................................................................................................................ 73. A geometric approach to the calculus of variations..................................................................................................

Symplectic Killing spinors

Svatopluk Krýsl (2012)

Commentationes Mathematicae Universitatis Carolinae

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Let ( M , ω ) 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...