Camcı, ÇetinChen, Bang-YenIlarslan, KazımUcum, Ali2024-12-122024-12-122021Çamcı, Ç., Chen, B.-Y., İlarslan, K., & Uçum, A. (2021). Sequential natural mates of Frenet curves in Euclidean 3-space. Journal of Geometry, 112(3), 1–15. https://doi.org/10.1007/s00022-021-00610-60047-24681420-8997https://doi.org/10.1007/s00022-021-00610-6https://hdl.handle.net/20.500.12428/6735Associated with a Frenet curve α in Euclidean 3-space E3, there exists the notion of natural mate β of α. In this article, we extend the natural mate β to sequential natural mates {α1,α2,…,αnα} with α1= β. We call each curve αi, i∈ { 1 , 2 , … , nα} , the i-th natural mate. The main purpose of this article is to study the relationships between the given Frenet curve α with its sequential natural mates {α1,α2,…,αnα}.eninfo:eu-repo/semantics/closedAccessAnti-Salkowski curveBertrand curveGeneral helicesIth natural mateMannheim curveNatural matesSalkowski curveSequential natural mateArticle112311510.1007/s00022-021-00610-6Q2WOS:0007114146000012-s2.0-85118249868