Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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On the Trajectory Null Scrolls in 3-Dimensional Minkowski Space-Time E13

  • Ersoy, Soley (Department of Mathematics, Faculty of Arts and Sciences, Sakarya University) ;
  • Tosun, Murat (Department of Mathematics, Faculty of Arts and Sciences, Sakarya University)
  • Received : 2006.09.01
  • Published : 2008.03.31
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Abstract

In this paper, the trajectory scroll in 3-dimensional Minkowski space-time $E_1^3$ is given by a firmly connected oriented line moving with Cartan frame along curve. Some theorems and results between curvatures of base curve and distribution parameter of this surface are obtained. Moreover, some theorems and results related to being developable and minimal of this surface are given. And also, some relationships among geodesic curvature, geodesic torsion and the curvatures of base curve of trajectory scroll are found.

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References

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  1. A STUDY ON A RULED SURFACE WITH LIGHTLIKE RULING FOR A NULL CURVE WITH CARTAN FRAME vol.49, pp.3, 2012, https://doi.org/10.4134/BKMS.2012.49.3.635