On the Timelike Sweeping Surfaces and Singularities in Minkowski 3-Space E13

Nadia Alluhaibi, Rashad A. Abdel-Baky, Monia Naghi and A. Ghareeb

Abstract and Applied Analysis, 2022, vol. 2022, 1-9

Abstract: The Bishop frame or rotation minimizing frame (RMF) is an alternative approach to define a moving frame that is well defined even when the curve has vanished second derivative, and it has been widely used in the areas of computer graphics, engineering, and biology. The main aim of this paper is using the RMF for classification of singularity type of timelike sweeping surface and Bishop spherical Darboux image which is mightily concerning a unit speed spacelike curve with timelike binormal vector in E13.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:9121239

DOI: 10.1155/2022/9121239

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