New answers tagged technique
As others have pointed out studded tires are most effective against ice. As for weight on front wheel, yes it is important to have some. But you do not want to lean heavy and make your hands heavy and stiff. You want them to be light, quick to react and precise. You also want your upper body to be flexible and quick to react.
I'd look at which situations you are encountering tire slips in. If you are encountering tire slips in cornering, studs are probably the way to go (or much more conservative riding). If you are having trouble while you are braking, you may consider adjusting your technique to be much more rear brake heavy or rear brake alone. I find that no matter what I ...
The real issue with ice is that it has a very low coefficient of friction, and weight distribution won't change that enough to make a difference. Tires with a soft compound and a lot of siping help somewhat, but the best solution is a tire with metal studs.
If cornering is the primary issue I will offer the following advice: look thru the turn to where you to be when you exit use your brakes BEFORE you turn; enter the turn at the speed you want to hit the apex and accelerate out keep mass over the center of the bike; don't lean into the turn practice turning on dirt until you slide or fall; cyclocross skills ...
Firstly, the fundamental skills - position, cornering*, braking, cadence are easily overlooked - one can go for years without realizing they are doing some of those wrong. They have been explained in the top answer. Now in my opinion these are some drills, that are useful for the trail. Track stand - useful for slippery surfaces e.g. ice or wet stones, ...
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