Relative equilibria at singular points of the moment map

1997/06/12 by Eugene Lerman, Lerman, Eugene
Mathematics · #58F #70H #Differential Geometry (math.DG) #FOS: Mathematics #dg-ga #math.DG #msc:58F #msc:70H

paper · pdf · doi:10.48550/arxiv.dg-ga/9706009

10 pages, LaTeX2e

arxiv created 1997/06/12 · arxiv updated 2009/11/30

Abstract

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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