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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Math. Comput. Appl. 2011, 16(4), 830-838; https://doi.org/10.3390/mca16040830
Published: 1 December 2011
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
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MDPI and ACS Style
Ekici, C.; Dede, M. On the Darboux Vector of Ruled Surfaces in Pseudo-Galilean Space. Math. Comput. Appl. 2011, 16, 830-838. https://doi.org/10.3390/mca16040830
AMA Style
Ekici C, Dede M. On the Darboux Vector of Ruled Surfaces in Pseudo-Galilean Space. Mathematical and Computational Applications. 2011; 16(4):830-838. https://doi.org/10.3390/mca16040830
Chicago/Turabian StyleEkici, Cumali, and Mustafa Dede. 2011. "On the Darboux Vector of Ruled Surfaces in Pseudo-Galilean Space" Mathematical and Computational Applications 16, no. 4: 830-838. https://doi.org/10.3390/mca16040830
