Relative equilibria at singular points of the moment map

Details Relative equilibria at singular points of the moment map Relative equilibria at singular points of the moment map

1997-06-12

arxiv.org/abs/dg-ga/9706009v1

Mathematics

Differential Geometry

10 pages, LaTeX2e

Scientific paper

We prove a criterion for stability of relative equilibria in symmetric
Hamiltonian systems at singular points of the momentum map. This generalizes a
theorem of G.W. Patrick. The method of the proof is also useful in studying the
bifurcation of relative equilibria.

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