Ice melts, meaning it has a watery layer upon its surface. This allows things to be moving like they are on a liquid but it has the solidity of a solid. The thin metal of the ice skates also decrease the surface area meaning it exerts more force but in turn, it allows you to move faster and further reduces friction.
The earth obviously because it is on Earth like we are and it has the same gravital properties. It falls when you drop it and rises when you pick it up