m at h . SG ] 6 A pr 2 00 1 NON - ZERO CONTACT REDUCTION
نویسنده
چکیده
For a proper action of a Lie group on a co-oriented contact manifold which preserves the contact structure, we show that the classical Marsden-Weinstein-Meyer symplectic reduction procedure extends naturally to the contact category, continuing the work of H. Geiges ([Ge]). With a certain regularity assumption in place, the contact quotient is shown to be naturally a contact manifold. More generally, the quotient is shown to be a stratified space, extending the results of E. Lerman and the author ([LW]). The strata of the contact quotient are shown to admit natural co-oriented contact structures which vary coherently from stratum to stratum. The previous work of V. Guillemin, S. Sternberg, and C. Albert towards an extension of the Marsden-Weinstein-Meyer symplectic reduction procedure is also discussed ([GS1, Al]).
منابع مشابه
m at h . SG ] 9 A pr 2 00 1 NON - ZERO CONTACT REDUCTION
For a proper action of a Lie group on a co-oriented contact manifold which preserves the contact structure, we show that the classical Marsden-Weinstein-Meyer symplectic reduction procedure extends naturally to the contact category, continuing the work of H. Geiges ([Ge]). With a certain regularity assumption in place, the contact quotient is shown to be naturally a contact manifold. More gener...
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