Evolutes of Hyperbolic Dual Spherical Curve in Dual Lorentzian 3-Space

Based on the E. Study's map, we study a timelike ruled surface as a curve on the hyperbolic dual unit sphere in dual Lorentzian 3-space $\mathbb{D}_{1}^{3}$. Then, as applications of the singularity theory of smooth functions, we define the notation of evolutes for timelike ruled surfaces and e...

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Bibliographic Details
Main Author: Rashad A. Abdel-Baky
Format: Article
Language:English
Published: Etamaths Publishing 2017-11-01
Series:International Journal of Analysis and Applications
Online Access:http://etamaths.com/index.php/ijaa/article/view/1534