Natural symplectic structures on the tangent bundle of a space-time
Janyška, Josef
Proceedings of the 15th Winter School "Geometry and Physics", GDML_Books, (1996), p. [153]-171 / Harvested from
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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.

EUDML-ID : urn:eudml:doc:220138
Mots clés: 
@article{701583,
     title = {Natural symplectic structures on the tangent bundle of a space-time},
     booktitle = {Proceedings of the 15th Winter School "Geometry and Physics"},
     series = {GDML\_Books},
     publisher = {Circolo Matematico di Palermo},
     address = {Palermo},
     year = {1996},
     pages = {[153]-171},
     mrnumber = {MR1463517},
     zbl = {0908.53017},
     url = {http://dml.mathdoc.fr/item/701583}
}

Janyška, Josef. Natural symplectic structures on the tangent bundle of a space-time, dans Proceedings of the 15th Winter School "Geometry and Physics", GDML_Books,  (1996), pp. [153]-171. http://gdmltest.u-ga.fr/item/701583/