Striktionseigenschaften von Regelscharen imE n

Abstract

Let ℜ={e(u)|u∈I} be a one-parameter family of straight lines forming a ruledCr-2-surface Φ⊂En (n≥2,r≥1) without singular generatorse(u) (u∈I). As a synopsis, a generalization and an improvement of various results already known about the strictional properties of ruled surfaces Φ⊂En (especially in the casen=3) the author demonstrates a uniform geometrical way of defining and uniquely obtaining thestriction point S(u) and theparameter of distribution d(u) of a generatore(u)∈ℜ under the minimal assumptions thate(u)∈ℜ⊂E n (n≥2) be noncylindrical andr≥1. Other methods of obtainingS(u) andd(u) are discussed in comparison, and special strictional properties ofskew ruled surfaces Φ⊂En are proved.