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Math. Comput. Appl. 2014, 19(2), 172-183; doi:10.3390/mca19020172

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

Department of Mathematics, Faculty of Science, Ege University, TR-35100 İzmir, Turkey
Published: 1 August 2014
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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
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Özyilmaz, E. The Darboux Trihedrons of Regular Curves on a Regular Time-Like Surface. Math. Comput. Appl. 2014, 19, 172-183.

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