Some Characterizations of Special Curves in the Euclidean Space ${\mathrm{E}}^4$

Abstract

In this work, first, we express some characterizations of helices and ccr curves in the Euclidean 4-space. Thereafter, relations among Frenet-Serret invariants of Bertrand curve of a helix are presented. Moreover, in the same space, some new characterizations of involute of a helix are presented.

11 pages only

References in corpus (1)

• Curves with constant curvature ratios