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arXiv · 1704.04978

A New Approach to Non-lightlike Curve Pairs

Zehra Ekinci·Mehmet Önder
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Abstract

In this paper, we introduce a new approach to non-lightlike curve pairs by using integral curves in Minkowski 3-space. We consider direction curve and donor curve to study non-lightlike curve couples such as involute-evolute curves, Mannheim partner curves and Bertrand partner curves. We obtain new methods to construct partner curves of a unit speed non-lightlike curve and give some applications related to helices and slant helices.

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Zehra Ekinci, Mehmet Önder. 2017-03-28. A New Approach to Non-lightlike Curve Pairs. https://arxiv.org/abs/1704.04978

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