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Math. Comput. Appl. 2011, 16(4), 830-838; doi:10.3390/mca16040830

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

Department of Mathematics and Computer Sciences Eskisehir Osmangazi University, 26480 Meselik, Eskisehir, Turkey
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Published: 1 December 2011
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Abstract

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.
Keywords: Ruled Surface; Darboux Vector; Pseudo-Galilean Space Ruled Surface; Darboux Vector; Pseudo-Galilean Space
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Ekici, C.; Dede, M. On the Darboux Vector of Ruled Surfaces in Pseudo-Galilean Space. Math. Comput. Appl. 2011, 16, 830-838.

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