A note on the spherical images of Wpartially null curves in Minkowski spacetime $\mathbb{E}_{1}^{4}$
Y. Ünlütürk, Z. Karakaş
In this study, we investigate the tangent,
principal normal and trinormal spherical images of a Wpartially null curve
in pseudohyperbolic space $\mathbb{H}_{0}^{3}$ of Minkowski space time $\mathbb{E}_{1}^{4}$.
The tangent, principal normal spherical images of a
Wpartially null curve occur as spacelike curves lying in pseudosphere $\mathbb{S}_{0}^{3}$,
then the FrenetSerret invariants of the mentioned
image curves are obtained in terms of the invariants of Wpartially null
curve. The trinormal spherical images of a Wpartially null curve occur as
spacelike curves lying in pseudohyperbolic space $\mathbb{H}_{0}^{3}$, then
the FrenetSerret invariants of the mentioned image curves are obtained in
terms of the invariants of Wpartially null curve. Finally, we give some
characterizations of the spherical images being helices.
Tbilisi Mathematical Journal, Vol. 12(4) (2019), pp. 213225
