Gosh - take up a summer sportBut really this is fun and informative to see all the viewpoints, people talking past each other, focusing on things that would destroy one's skiing on the hill if focused on while skiing.
Pressure - again - if you increase your tip by taking your inside foot and tipping it more, your body will respond in two ways. You'll increase your angle and be closer to the ground, this will increase the tip for you on your outside leg, which in turn will decrease the radius of the turn by increasing the pressure on the ski. Tip more, pressure increases, turn radius decreases. If these 3 things don't happen at the same time, you will fall down. Seems pretty simple to me.
On Dasliders first point, unless you are on ice and you go back to do a track analysis certainly we will see the edge has most the weight pushed back from the base of the ski. The side cut just determines the bending characteristics of the ski. The ski in a reverse camber is what is making it turn.
Only difference from the way I ski and what some here have said is I would not "pronate" the outside foot to initiate the tipping because if that's my first motion then my body is not yet committed to the turn to respond to the turning forces the tipping ski will start to generate and need balanced against. I would take my new inside ski and tip it while letting my weight come of it. (remember this was my old outside ski so most of my weight was on it before) Removing my weight from my old outside ski instantly and dynamically throws my into the new turn. This causes my body to fall into the new turn which in turn tips the new outside ski which is ridden through the turn. The turn can be tightend by increasing the tipping which is done by tipping the inside leg which once again causes the body to fall down more. This style of skiing is almost by definition carved as no skiiding or rotary forces are being applied to the skies, but the rotary forces of the turn are being reacted to caused by the tipping of the weighted ski which was caused by the body falling which was caused by the tipping of the unweighted ski.
(which is totally different and much more fun than inititating tipping with the big toe of the new weighted leg)
Now back to my carvers and the streets. Oh, inline skates, and carvers for that matter, turn because of the offsetting contact patch and the different friction levels as a result of the force applied. You can't turn them but you pressure them. The more pressure (the more tip and more one footed you do it) the more they turn. Same as skiing. You can also turn them by crossing over but then that's not turnning them but stepping them in intersecting straight lines. You can brute force turn them, but why, when they turn naturally like carving a ski by tipping and pressure.
Oh interesting comment on Taper angle.
Taper Angle - hmmm - that must be why I like my 6 stars. The tail is more narrow than most shaped skies and I find them very versitile in responding to pressure.
And - how do you increase pressure while in a turn whilst at the same tipping angle? Simple - just go to more one footed skiing. To decrease pressure go to more two footed skiing. Tip,Pressure are enough to control the speed and radius of a carved turn.
Pot stirred some more.