A New Special Helices in the Galilean Space G4

Abstract

In this work, we characterize certain special curves in the four-dimensional Galilean space in terms of Frenet-Serret vector fields. We investigate an explicit characterization of general helices of the Galilean space G4. We express position vector of an arbitrary helix and, introduce type-1, type-2 and type-3 slant helices by aid of the second, third and fourth vector fields of the Frenet-Serret tetrad. A number of differential and integral characterizations of the mentioned curves are expressed using classical differential geometry methods.