Curves of restricted type in euclidean spaces

Abstract

Submanifolds of restricted type were introduced in [7]. In the present study we consider restricted type of curves in E m. We give some special examples. We also show that spherical curve in S 2 (r) ⊂ E 3 is of restricted type if and only if either f(s) is constant or a linear function of s of the form f(s) = ±s + b and every closed W − curve of rank k and of length 2πr in E 2k is of restricted type.