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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2017, Number 1, Pages 39–50
(Mi basm436)
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This article is cited in 3 scientific papers (total in 3 papers)
A new characterization of curves in Euclidean $4$-space $\mathbb E^4$
Günay Öztürka, Selin Gürpınarb, Kadri Arslanb a Kocaeli University, Department of Mathematics, Kocaeli, TURKEY
b Uludağ University, Department of Mathematics, Bursa, TURKEY
Abstract:
In the present study, we characterize a regular curve whose position vector can be written as a linear combination of its Serret–Frenet vectors in Euclidean $4$-space $\mathbb E^4$. We investigate such curves in terms of their curvature functions. Further, we obtain some results of $T$-constant, $N$-constant and constant ratio curves in $\mathbb E^4$.
Keywords and phrases:
position vector, rectifying curve, ccr-curve.
Received: 17.05.2016
Citation:
Günay Öztürk, Selin Gürp{\i}nar, Kadri Arslan, “A new characterization of curves in Euclidean $4$-space $\mathbb E^4$”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2017, no. 1, 39–50
Linking options:
https://www.mathnet.ru/eng/basm436 https://www.mathnet.ru/eng/basm/y2017/i1/p39
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Abstract page: | 452 | Full-text PDF : | 93 | References: | 51 |
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