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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2018.1
- 수록면
- 377 - 388 (12page)
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In this paper, we de fine new quaternionic associated curves called quaternionic principal-direction curves and quaternionic principal-donor curves. We give some properties and relationships between Frenet vectors and curvatures of these curves. For spatial quaternionic curves, we give characterizations for quaternionic helices and quaternionic slant helices by means of their associated curves.
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참고문헌 (17)
참고문헌 신청
H. Balgetir / 2004 / Null Bertrand curves in Minkowski 3-space and their characterizations / Note Mat 23(1):7~13
K. Bharathi / 1987 / Quaternion valued function of a real Serret-Frenet formula / Indian J. Pure Appl. Math 18(6):507~511
J. F. Burke / 1960 / Bertrand curves associated with a pair of curves / Math. Mag 34(1):60~62
J. H. Choi / 2012 / Associated curves of a Frenet curve and their applications / Appl. Math. Comput 218:9116~9124
J. H. Choi / 2012 / Some associated curves of Frenet non-lightlike curves in $E_{1}^{3}$ / J. Math. Anal. Appl 394:712~723
K. Bharathi / 1987 / Quaternion valued function of a real Serret-Frenet formula / Indian J. Pure Appl. Math 18(6):507~511
J. F. Burke / 1960 / Bertrand curves associated with a pair of curves / Math. Mag 34(1):60~62
J. H. Choi / 2012 / Associated curves of a Frenet curve and their applications / Appl. Math. Comput 218:9116~9124
J. H. Choi / 2012 / Some associated curves of Frenet non-lightlike curves in
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