Displaying similar documents to “Geometric quantization and no-go theorems”

Remarks on Special Symplectic Connections

Martin Panák, Vojtěch Žádník (2008)

Archivum Mathematicum

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The notion of special symplectic connections is closely related to parabolic contact geometries due to the work of M. Cahen and L. Schwachhöfer. We remind their characterization and reinterpret the result in terms of generalized Weyl connections. The aim of this paper is to provide an alternative and more explicit construction of special symplectic connections of three types from the list. This is done by pulling back an ambient linear connection from the total space of a natural scale...

Natural symplectic structures on the tangent bundle of a space-time

Janyška, Josef

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In this nice paper the author proves that all natural symplectic forms on the tangent bundle of a pseudo-Riemannian manifold are pull-backs of the canonical symplectic form on the cotangent bundle with respect to some diffeomorphisms which are naturally induced by the metric.