On the Darboux Vector of Ruled Surfaces in Pseudo-Galilean Space

Mathematical and Computational Applications

Ekici, Cumali¹ 

关键词: Ruled Surface;    Darboux Vector;    Pseudo-Galilean Space;   

DOI  :  10.3390/mca16040830

学科分类：计算数学

来源: mdpi

【 摘 要 】

In the Euclidean space the Darboux vector may be interpreted kinematically as the direction of the instantaneous axis of rotation in the moving trihedron. In this paper we mainly study the Darboux vector of ruled surfaces in pseudo-Galilean space. We obtain relationships between Darboux and Frenet vectors of each type of ruled surfaces in pseudo-Galilean space. Moreover we observe that in the pseudo-Galilean space the Darboux vector can be interpreted kinematically as a shear along the absolute line.

【 授权许可】

CC BY