English

Relative equilibria at singular points of the moment map

dg-ga 2008-02-03 v1 Differential Geometry

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.

Keywords

Cite

@article{arxiv.dg-ga/9706009,
  title  = {Relative equilibria at singular points of the moment map},
  author = {Eugene Lerman},
  journal= {arXiv preprint arXiv:dg-ga/9706009},
  year   = {2008}
}

Comments

10 pages, LaTeX2e