Just saw this. It's actually kind of a good lesson in body position. Pause the video at 26 seconds, and notice that when he corners, his body stays upright while his legs are about 45 degrees to the ground. That's what you should do on an unbanked curve, except the paws would be wheels, obviously.
On a banked curve, he would probably know that he didn't need to do that-- his legs and body would be at right angles to the ground. Skiing is the same.
What I love: When they leap higher than they need to in order to clear an obstacle, just for the hell of it, just because it feels great.