Spacelike helices in Minkowski 4-space $${E_1^4 }$$

Abstract

In this paper, we give some characterizations for spacelike helices in Minkowski space-time E 4 1 . We find the differential equations characterizing the spacelike helices and also give the integral characterizations for these curves in Minkowski space-time E 4 1 .

Non-null slant ruled surfaces

“…Using the second equation of (4), (15) is obtained from (20). Conversely, let us assume that (15) holds.…”

Some characterizations of a timelike curve in $R^3_1$

“…T. Ali and M. Onder characterize rectifying spacelike curves in terms of their curvature functions in Minkowski spacetime [3]. M. Onder, H. Kocayigit and M. Kazaz gave some characterizations for spacelike helices in Minkowski spacetime and found the differential equations characterizing the spacelike helices in Minkowski 4-space [13]. H.H.…”

Characterizations of general helices according to quaternionic frame

“…Kula and et al studied some characterizations of slant helices in the Euclidean 3-space [5]. After that, Önder and et al have regarded the notion of slant helix in 4 E and defined these new curves as 2 B -slant helix [8]. Mağden studied on the curves of constant slope in Euclidean-4 space…”