A New Characterization of Curves in Euclidean 4-Space $\mathbb{E}^{4}$
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514.7 (26)
Geometrie diferențială. Metode algebrice și analitice în geometrie (26)
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GUNAY, Ozturk, SELIN, Gurpinar, KADRI ARSLAN, Kadri Arslan. A New Characterization of Curves in Euclidean 4-Space $\mathbb{E}^{4}$. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2017, nr. 1(83), pp. 39-50. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 1(83) / 2017 / ISSN 1024-7696 /ISSNe 2587-4322

A New Characterization of Curves in Euclidean 4-Space $\mathbb{E}^{4}$
CZU: 514.7
MSC 2010: 53A04, 53A05.

Pag. 39-50

Gunay Ozturk1, Selin Gurpinar2, Kadri Arslan Kadri Arslan2
 
1 Kocaeli University, Department of Mathematics,
2 University of Uludag, Bursa, Turkey
 
 
Disponibil în IBN: 4 august 2017


Rezumat

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 E4. 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 E4.

Cuvinte-cheie
Position vector, rectifying curve, ccr-curve