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Article

Janyška, Josef
Natural symplectic structures on the tangent bundle of a space-time. (English). In: Slovák, Jan (ed.): Proceedings of the 15th Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1996. pp. [153]-171
MSC: 37J99, 53C15, 53C50, 53C80, 58F05 | MR 1463517 | Zbl 0908.53017
Summary:
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.
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