A new characterization of curves in euclidean 4-space E4

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Öztürk G., Gürpinar S., ARSLAN K.

Buletinul Academiei de Stiinte a Republicii Moldova. Matematica, vol.83, no.1, pp.39-50, 2017 (Scopus)

• Publication Type: Article / Article
• Volume: 83 Issue: 1
• Publication Date: 2017
• Journal Name: Buletinul Academiei de Stiinte a Republicii Moldova. Matematica
• Journal Indexes: Scopus
• Page Numbers: pp.39-50
• Keywords: ccr-curve, Position vector, Rectifying curve
• Bursa Uludag University Affiliated: Yes

Abstract

© G. Öztürk, S. Gürpmar, K. Arslan, 2017.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.