|And could you be more specific please in your answer to the question about rotation of the lateral axes?
The race course determines the amount of rotation (actually it is on the longitutinal axis) sp?. In the last year or so, GS courses have been set so there is more of a pivot in the turn transition (a spivot it is called) to redirect the skis more directly toward the next gate. This has made the courses more technically difficult b/c the skier must be able to go from a high edge carve at turn finish, to a flat ski to pivot in the transition and then back to high edge carve.
Sence GS is about half way between SG and slalom, it is a good format to study this. In slalom, the pivot portion is done during the cross under (retracted part of the turn) and the upper body stays more countered while the skis are laterally placed to the side for inclination through the turn.
Maybe the best answer of your question is that DH and SG turns have more gradual rotation and inclination while the body stays squarer and GS has more of a pivot and slightly faster inclination with more counter than SG, and in slalom, it happens very quickly where the body is more countered and squarer over the skis.
I feel it is the course that dictates the turns along with the equipment. The technique of the skier is dictated by efficiencey through the course.
Hope this answeres your question a little better.