Translation framed surfaces generated by non-null framed curves in Minkowski 3-space
Keywords:
Framed curve, Framed surface, Translation framed surface, curvature and invariants of a translation framed surfaceAbstract
In this paper, first we obtain the conditions for the existence and uniqueness of non-null framed curves as well as non-null framed surfaces in Minkowski $3$-space. Further, we study the timelike and spacelike translation framed surfaces generated by non-null framed curves and obtain the basic invariants of such surfaces in $\E^3_1$. We also find the curvatures of timelike and spacelike translation framed surfaces generated by non-null framed curves. Finally, we classify the translation framed surfaces generated by non-null framed curves lying in mutually perpendicular coordinate planes of $\E^3_1$ with $\K_K \equiv 0$ and $\K_H \equiv 0$.
Downloads
Published
How to Cite
Issue
Section
License
The copyright to the article is transferred to body International Journal of Maps in Mathematics effective if and when the article is accepted for publication.
- The copyright transfer covers the exclusive right to reproduce and distribute the article, including reprints, translations, photographic reproductions, microform, electronic form (offline, online) or any other reproductions of similar nature.
- An author may make his/her article published by body International Journal of Maps in Mathematics available on his/her home page provided the source of the published article is cited and body International Journal of Maps in Mathematics is mentioned as copyright owner.
- The author warrants that this contribution is original and that he/she has full power to make this grant. The author signs for and accepts responsibility for releasing this material on behalf of any and all co-authors. After submission of this agreement signed by the corresponding author, changes of authorship or in the order of the authors listed will not be accepted by body International Journal of Maps in Mathematics.
