Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

B-Lift Curves in Euclidean 3-space

Version 1 : Received: 22 March 2021 / Approved: 24 March 2021 / Online: 24 March 2021 (12:20:09 CET)
Version 2 : Received: 24 March 2021 / Approved: 25 March 2021 / Online: 25 March 2021 (17:22:06 CET)
(This article belongs to the Research Topic EUSAR 2020—Preprints)

How to cite: Altınkaya, A. B-Lift Curves in Euclidean 3-space. Preprints 2021, 2021030580 (doi: 10.20944/preprints202103.0580.v1). Altınkaya, A. B-Lift Curves in Euclidean 3-space. Preprints 2021, 2021030580 (doi: 10.20944/preprints202103.0580.v1).

Abstract

In this study, we introduce a new type curve in 3-dimensional space which called B-lift curve and we obtain the Frenet operators of the B-lift curve. Moreover, we consider the correpondence of Frenet operators between the Blift curve and the natural lift curve. Finally, we investigate the B-lift curve according to the main curve is slant helix or darboux helix.

Subject Areas

B-Lift; , Natural Lift; Slant helix; Darboux helix

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