The characterizations of some special Frenet curves in Minkowski 3-space
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https://doi.org/10.26637/MJM0804/0138Abstract
We derive a general differential equation satisfied by the distance function for non-null Frenet curves in Minkowski 3-space. By using this differential equation, we easily express the well-known characterizations of non-null some special Frenet curves which are pseudo-spherical curves and rectifying curves. Then we get a new characterization of general helix. Lastly, we characterize non-null pseudo-spherical curves with respect to centrode and co-centrode. Similarly, we derive a general differential equation satisfied by the distance function for null Frenet curves. By means of this differential equation we see that there is not exist null Frenet curve lies on pseudo-sphere and we get the well-known characterization of null rectifying curves. Finally, we find a new characterization for null general helix and we obtain characterization null general helix with respect to centrode and co-centrode.
Keywords:
Pseudo-spherical curve, rectifying curve, general helix, centrode, co-centrodeMathematics Subject Classification:
Mathematics- Pages: 2137-2143
- Date Published: 01-10-2020
- Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)
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