Turkish Journal of Mathematics
DOI
10.55730/1300-0098.3508
Abstract
For a nonlightlike nondegenerate regular curve, we have the arc-length parameter and the Frenet-Serret type formula by using a moving frame like a regular space curve in the Euclidean space. If a point of the curve moves between spacelike and timelike regions, then there is a lightlike point. In this paper, we consider mixed types of not only regular curves but also curves with singular points. In order to consider mixed type of curves with singular points, we introduce a frame, so-called the lightcone frame, and lightcone framed curves. We investigate differential geometric properties of lightcone framed curves.
Keywords
curvature, lightcone framed curve, Mixed type, singular point
First Page
307
Last Page
326
Recommended Citation
CHEN, LIANG and TAKAHASHI, MASATOMO
(2024)
"Lightcone framed curves in the Lorentz-Minkowski 3-space,"
Turkish Journal of Mathematics: Vol. 48:
No.
2, Article 14.
https://doi.org/10.55730/1300-0098.3508
Available at:
https://journals.tubitak.gov.tr/math/vol48/iss2/14
