New approach explores non-lightlike curve pairs, revealing implications for curve properties and applications.
This paper introduces a new approach for non-lightlike curve pairs in Minkowski 3-space . Some special curve pairs such as Mannheim partner curves, involute-evolute curves and Bertrand partner curves are studied by the aid of integral curves. By defining new direction curves and donor curves, new methods to obtain partner curves of a unit speed non-lightlike curve are obtained and applications of obtained results related to helices and slant helices are given.
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Ekinci et al. (2025) studied this question.
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