Configurations of six skew lines

In this paper we give a classification of nonsingular configurations of 6 lines of the space RP³ with respect to right isotopy (in the course of a rigid isotopy the lines remain pairwise disjoint lines) and prove that up to rigid isotopies nonsingular configurations of 6 lines are not determined by the linking coefficients.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 167, pp. 121–134, 1988.