Bifurcation from relative equilibria of noncompact group actions: Skew products, meanders, and drifts
Documenta mathematica, Tome 1 (1996), pp. 479-505
We consider a finite-dimensional, typically noncompact Riemannian manifold M with a differentiable proper action of a possibly non-compact 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 g ̇=ga(v),v ̇=φ(v). Here g∈G,a∈alg(G). The vector v is in a linear slice V to the group action. The induced local flow on G×V is equivariant under the action of (g0,h)∈G×H on (g,v)∈G×V, given by (g0,h)(g,v)=(g0gh−1,hv). The original flow on U is equivalent to the induced flow on {id}×H-orbits in G×V.
@article{10_4171_dm_20,
author = {Claudia Wulff and Bernold Fiedler and Bj\"orn Sandstede and Arnd Scheel},
title = {Bifurcation from relative equilibria of noncompact group actions: {Skew} products, meanders, and drifts},
journal = {Documenta mathematica},
pages = {479--505},
year = {1996},
volume = {1},
doi = {10.4171/dm/20},
url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/20/}
}
TY - JOUR AU - Claudia Wulff AU - Bernold Fiedler AU - Björn Sandstede AU - Arnd Scheel TI - Bifurcation from relative equilibria of noncompact group actions: Skew products, meanders, and drifts JO - Documenta mathematica PY - 1996 SP - 479 EP - 505 VL - 1 UR - http://geodesic.mathdoc.fr/articles/10.4171/dm/20/ DO - 10.4171/dm/20 ID - 10_4171_dm_20 ER -
%0 Journal Article %A Claudia Wulff %A Bernold Fiedler %A Björn Sandstede %A Arnd Scheel %T Bifurcation from relative equilibria of noncompact group actions: Skew products, meanders, and drifts %J Documenta mathematica %D 1996 %P 479-505 %V 1 %U http://geodesic.mathdoc.fr/articles/10.4171/dm/20/ %R 10.4171/dm/20 %F 10_4171_dm_20
Claudia Wulff; Bernold Fiedler; Björn Sandstede; Arnd Scheel. Bifurcation from relative equilibria of noncompact group actions: Skew products, meanders, and drifts. Documenta mathematica, Tome 1 (1996), pp. 479-505. doi: 10.4171/dm/20
Cité par Sources :