Geodesic
Relations between constants of motion and conserved functions
Archivum mathematicum, Tome 51 (2015) no. 5, pp. 297-313

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We study relations between functions on the cotangent bundle of a spacetime which are constants of motion for geodesics and functions on the odd-dimensional phase space conserved by the Reeb vector fields of geometrical structures generated by the metric and an electromagnetic field.
DOI : 10.5817/AM2015-5-297
Classification : 58A20, 70G45, 70H33, 70H40, 70H45
Keywords: phase space; infinitesimal symmetry; hidden symmetry; gravitational contact phase structure; almost-cosymplectic-contact phase structure; Killing multi-vector field; Killing–Maxwell multi-vector field; function constant of motions; conserved function 
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     author = {Jany\v{s}ka, Josef},
     title = {Relations between constants of motion and conserved functions},
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     language = {en},
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Janyška, Josef. Relations between constants of motion and conserved functions. Archivum mathematicum, Tome 51 (2015) no. 5, pp. 297-313. doi: 10.5817/AM2015-5-297

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