Surface family with a common natural asymptotic lift of a timelike curve in Minkowski 3-space

2016/02/11 by Ergin Bayram, Ergi̇n Bayram, Evren Ergün +5
Engineering · Mathematics · #3D Shape Modeling and Analysis #Advanced Numerical Analysis Techniques #FOS: Mathematics #General Mathematics (math.GM) #Geometric Analysis and Curvature Flows #math.GM

paper · pdf · doi:10.48550/arxiv.1602.04165

arxiv created 2016/02/11 · openalex publication_date 2016/02/11 · arxiv updated 2016/02/15 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28

Abstract

In the present paper, we find a surface family possessing the natural lift of a given timelike curve as a asymptotic in Minkowski 3-space. We express necessary and sufficient conditions for the given curve such that its natural lift is a asymptotic on any member of the surface family. Finally, we illustrate the method with some examples.

Related

• Surfaces with a common asymptotic curve in Minkowski 3-space
• The Natural Lift Curves for the Spherical Indicatrices of the Timelike-Spacelike Bertrand Couple in Minkowski 3-Space
• Surfaces Family With Common Null Asymptotic
• On the natural lift curves for the Involute spherical indicatrices in Minkowski 3-space
• Similar Ruled Surfaces with Variable Transformations in Minkowski 3-space