We consider a finite-dimensional, typically noncompact Riemannian manifold M with a differentiable proper action of a possibly noncompact Lie group G. We describe G-equivariant flows in a tubular neighborhood U of a relative equilibrium G ·u0, u0 ∈ M , with compact isotropy H of u0, by a skew product flow ġ = ga(v), v̇ = φ(v). Here g ∈ G, a ∈ alg(G). The… (More)
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