Geodesic
Reduction in Contact Geometry
Journal of Lie theory, Tome 11 (2001) no. 1, pp. 9-22.

Voir la notice de l'article provenant de la source Heldermann Verlag

The notion of a moment map for (exact) contact manifolds is introduced. We prove a reduction theorem analogous to the Marsden-Weinstein theorem in the (exact) symplectic case. Furthermore the existence of a local normal form for the moment map in a neighborhood of a point in the zero moment level is proved. This implies a local slice theorem for contact transformation groups. 
@article{JLT_2001_11_1_JLT_2001_11_1_a1,
     author = {F. Loose },
     title = {Reduction in {Contact} {Geometry}},
     journal = {Journal of Lie theory},
     pages = {9--22},
     publisher = {mathdoc},
     volume = {11},
     number = {1},
     year = {2001},
     url = {http://geodesic.mathdoc.fr/item/JLT_2001_11_1_JLT_2001_11_1_a1/}
}
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F. Loose . Reduction in Contact Geometry. Journal of Lie theory, Tome 11 (2001) no. 1, pp. 9-22. http://geodesic.mathdoc.fr/item/JLT_2001_11_1_JLT_2001_11_1_a1/