Geodesic
A new characterization of curves in Euclidean $4$-space~$\mathbb E^4$
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2017), pp. 39-50

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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 $\mathbb E^4$. 
@article{BASM_2017_1_a3,
     author = {G\"unay \"Ozt\"urk and Selin G\"urp{\i}nar and Kadri Arslan},
     title = {A new characterization of curves in {Euclidean} $4$-space~$\mathbb E^4$},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {39--50},
     publisher = {mathdoc},
     number = {1},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BASM_2017_1_a3/}
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Günay Öztürk; Selin Gürpınar; Kadri Arslan. A new characterization of curves in Euclidean $4$-space~$\mathbb E^4$. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2017), pp. 39-50. http://geodesic.mathdoc.fr/item/BASM_2017_1_a3/