The turn radii of the Olympic slalom skis are the same as that used on the World Cup, and other FIS sanctioned races. There are no separate technical rules for Olympic competitions outside of the individual sports' governing bodies.
But I don't really think that was what was implied by the question.
The 02/03 Atomic SL:9 is not the top level slalom ski. The SL:11 is, and is pretty much identical to what is being used on the World Cup this season.
The 02/03 SL:9 is very similar to the 01/02 BetaRace 9.12, with the Aerospeed topskin and a RaceCharger plate being the new improvements. Geometry remains the same. The 01/02 BetaRace 9.16 is no longer available in the line. The replacement for next year is the SL:11. Similar materials are used, but refinements have been done. B4 Race construction, titanium Power Channels, Hyper Carbon, WC Racing Base, B4 Chassis Race interface. Measurements as follows;
150cm - 107-63-95 - 11m
157cm - 108-63-96 - 12m
164cm - 109-63-97 - 13m
171cm - 110-63-98 - 14m
So to your question.
The women are most likely running the minimum allowable length of 150cm. The men's minimum allowable length is 155cm. The pure slalmom racers will be using the 157cm, or 164cm depending on their (the racer's) size. In the combined event, the racers who normally ski DH, SG, and GS were using the 171cm model, since dropping to the smallest would be too huge change for someone who almost never train slalom. I don't know what the other manufacturers had their racers on.