We describe conditions under which a spacetime connection and a scaled Lorentzian metric define natural symplectic and Poisson structures on the tangent bundle of the Einstein spacetime.
@article{107996, author = {Josef Jany\v ska}, title = {Geometric structures on the tangent bundle of the Einstein spacetime}, journal = {Archivum Mathematicum}, volume = {042}, year = {2006}, pages = {195-203}, zbl = {1164.53318}, mrnumber = {2240357}, language = {en}, url = {http://dml.mathdoc.fr/item/107996} }
Janyška, Josef. Geometric structures on the tangent bundle of the Einstein spacetime. Archivum Mathematicum, Tome 042 (2006) pp. 195-203. http://gdmltest.u-ga.fr/item/107996/
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