On the Trajectory Null Scrolls in 3-Dimensional Minkowski Space-Time E13

• Journal title : Kyungpook mathematical journal
• Volume 48, Issue 1,  2008, pp.81-92
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2008.48.1.081
Title & Authors
On the Trajectory Null Scrolls in 3-Dimensional Minkowski Space-Time E13
Ersoy, Soley; Tosun, Murat;

Abstract
In this paper, the trajectory scroll in 3-dimensional Minkowski space-time $\small{E_1^3}$ 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.
Keywords
Null scroll;distribution parameter;mean curvature;Gaussian curvature;
Language
English
Cited by
1.
A STUDY ON A RULED SURFACE WITH LIGHTLIKE RULING FOR A NULL CURVE WITH CARTAN FRAME,;;

대한수학회보, 2012. vol.49. 3, pp.635-645
1.
A STUDY ON A RULED SURFACE WITH LIGHTLIKE RULING FOR A NULL CURVE WITH CARTAN FRAME, Bulletin of the Korean Mathematical Society, 2012, 49, 3, 635
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