Abstract
In this paper, we show that the notion of moment map for the Hamiltonian action of a Lie group on a symplectic manifold is a special case of a much more general notion. In particular, we show that one can associate a moment map to a family of Hamiltonian symplectomorphisms, and we prove that its image is characterized, as in the classical case, by a generalized “energy-period” relation.
Citation
Victor Guillemin. Shlomo Sternberg. "The moment map revisited." J. Differential Geom. 69 (1) 137 - 162, Jan 2005. https://doi.org/10.4310/jdg/1121540342
Information