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Article

The Darboux Trihedrons of Regular Curves on a Regular Time-Like Surface

by
Emin Özyilmaz
Department of Mathematics, Faculty of Science, Ege University, TR-35100 İzmir, Turkey
Math. Comput. Appl. 2014, 19(2), 172-183; https://doi.org/10.3390/mca19020172
Published: 1 August 2014
Versions Notes

Abstract

In this work, we study Differential Geometry in the Minkowski 3-space R13 of the curves on a time-like regular surface by using parameter curves which are not perpendicular to each other. The aim of this study is to investigate the formulae between the Darboux Vectors of the time-like curve (c) , the time-like parameter curve (c1) and the space-like parameter curve (c2) which are not intersecting perpendicularly.
Keywords: time-like and space-like curves; time-like surface; minkowski 3-space time-like and space-like curves; time-like surface; minkowski 3-space

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MDPI and ACS Style

Özyilmaz, E. The Darboux Trihedrons of Regular Curves on a Regular Time-Like Surface. Math. Comput. Appl. 2014, 19, 172-183. https://doi.org/10.3390/mca19020172

AMA Style

Özyilmaz E. The Darboux Trihedrons of Regular Curves on a Regular Time-Like Surface. Mathematical and Computational Applications. 2014; 19(2):172-183. https://doi.org/10.3390/mca19020172

Chicago/Turabian Style

Özyilmaz, Emin. 2014. "The Darboux Trihedrons of Regular Curves on a Regular Time-Like Surface" Mathematical and Computational Applications 19, no. 2: 172-183. https://doi.org/10.3390/mca19020172

APA Style

Özyilmaz, E. (2014). The Darboux Trihedrons of Regular Curves on a Regular Time-Like Surface. Mathematical and Computational Applications, 19(2), 172-183. https://doi.org/10.3390/mca19020172

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