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

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

2009-07-30

arxiv.org/abs/0907.5268v1

Mathematics

Differential Geometry

11 pages only

Scientific paper

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.

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