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Unluturk, Yasin, Yilmaz, Suha. (1397). ASSOCIATED CURVES OF THE SPACELIKE CURVE VIA THE BISHOP FRAME OF TYPE-2 IN E₁³. , 8(1), 1-12. doi: 10.22103/jmmrc.2019.12814.1071
Yasin Unluturk; Suha Yilmaz. "ASSOCIATED CURVES OF THE SPACELIKE CURVE VIA THE BISHOP FRAME OF TYPE-2 IN E₁³". , 8, 1, 1397, 1-12. doi: 10.22103/jmmrc.2019.12814.1071
Unluturk, Yasin, Yilmaz, Suha. (1397). 'ASSOCIATED CURVES OF THE SPACELIKE CURVE VIA THE BISHOP FRAME OF TYPE-2 IN E₁³', , 8(1), pp. 1-12. doi: 10.22103/jmmrc.2019.12814.1071
Unluturk, Yasin, Yilmaz, Suha. ASSOCIATED CURVES OF THE SPACELIKE CURVE VIA THE BISHOP FRAME OF TYPE-2 IN E₁³. , 1397; 8(1): 1-12. doi: 10.22103/jmmrc.2019.12814.1071

ASSOCIATED CURVES OF THE SPACELIKE CURVE VIA THE BISHOP FRAME OF TYPE-2 IN E₁³

Journal of Mahani Mathematical Research
مقاله 1، دوره 8، شماره 1، فروردین 2019، صفحه 1-12    اصل مقاله (252.89 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22103/jmmrc.2019.12814.1071
نویسندگان
Yasin Unluturk1؛ Suha Yilmaz* 2
1Kirklareli University
2Dokuz Eylul University
چکیده
The objective of the study in this paper is to define M₁,M₂-direction curves and M₁,M₂-donor curves of the spacelike curve γ via the Bishop frame of type-2 in E₁³. We obtained the necessary and sufficient conditions when the associated curves to be slant helices and general helices via the Bishop frame of type-2 in E₁³. After defining the spherical indicatrices of the associated curves, we obtain some relations between associated curves and their spherical indicatrices in terms of the frames used in the present work.
کلیدواژه‌ها
Minkowski 3-space؛ Bishop frame of type-2؛ M₁M₂-direction curves؛ M₁M₂-donor curves؛ slant helices
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