%0 Journal Article %A Altafini, Claudio %T Reduction by group symmetry of second order variational problems on a semidirect product of Lie groups with positive definite riemannian metric %J ESAIM: Control, Optimisation and Calculus of Variations %D 2004 %P 526-548 %V 10 %N 4 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/cocv:2004018/ %R 10.1051/cocv:2004018 %G en %F COCV_2004__10_4_526_0