In order to assure smooth and essentially equidistant running of correspondingly loaded pair of skis over ground when turning left or right without any sideslip, a ski is bent at its tip at a pre-determined angle around its longitudinal axis and deflected from the ground by a radius along a that longitudinal axis. Despite a practically symmetric appearance of the circumference of such ski when observed in top view, the distance between a front inflection point and a rear inflection point on the left ski edge and the distance between the front inflection point and the rear inflection point on the right ski edge differ from each other such that the active lengths of the ski edges differ from each other. A weak area of the ski is provided adjacent at least one inflection point to provide different compression distributions between the ground and each of the ski edges.