Journal of Lie Theory

no. 1
Reduction in Contact Geometry
Journal of Lie Theory, Volume 11 (2001) no. 1, pp. 9-22
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.
DOI: 10.5802/jolt.220
Classification: 53D20, 53D10, 58A30
Keywords: contact structure, moment map, contact manifold, contactomorphisms 
@article{JOLT_2001_11_1_a1,
     author = {F. Loose},
     title = {Reduction in {Contact} {Geometry}},
     journal = {Journal of Lie Theory},
     pages = {9--22},
     year = {2001},
     volume = {11},
     number = {1},
     doi = {10.5802/jolt.220},
     zbl = {0978.53131},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.220/}
}
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F. Loose. Reduction in Contact Geometry. Journal of Lie Theory, Volume 11 (2001) no. 1, pp. 9-22. doi: 10.5802/jolt.220

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