41 citations · 69 across the 5 of their papers we have counts for
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math.SG2002
Openness of momentum maps and persistence of extremal relative equilibria
James Montaldi, Tadashi Tokieda
We prove that for every proper Hamiltonian action of a Lie group G in finite dimensions the momentum map is locally G-open relative to its image (i.e. images of G-invariant open se…
math.SG1999★ 10 cited
On relative normal modes
E. Lerman, T. F. Tokieda
We generalize the Weinstein-Moser theorem on the existence of nonlinear normal modes near an equilibrium in a Hamiltonian system to a theorem on the existence of relative perodic o…