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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Previous articles were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence, and they are hosted by MDPI on mdpi.com as a courtesy and upon agreement with Association for Scientific Research (ASR).
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Article

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

by
Cumali Ekici
* and
Mustafa Dede
*
Department of Mathematics and Computer Sciences Eskisehir Osmangazi University, 26480 Meselik, Eskisehir, Turkey
*
Authors to whom correspondence should be addressed.
Math. Comput. Appl. 2011, 16(4), 830-838; https://doi.org/10.3390/mca16040830
Published: 1 December 2011
Versions Notes

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

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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 Style

Ekici, 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

APA Style

Ekici, C., & Dede, M. (2011). On the Darboux Vector of Ruled Surfaces in Pseudo-Galilean Space. Mathematical and Computational Applications, 16(4), 830-838. https://doi.org/10.3390/mca16040830

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