On the geodesics of tubular surfaces in Minkowski 3-space
type: Item
instance of: scholarly article
title: On the geodesics of tubular surfaces in Minkowski 3-space
zbMATH Open document ID: 1146.53008
author: Murat Kemal Karacan
author: Yusuf Yayli
published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series
publication date: 2008-07-29T00:00:00Z
full work available at URL: https://eudml.org/doc/54573
review text: We consider geodesics of tubular surfaces by using two-parameter spatial motion along a curve in Minkowski 3-space. To do this, we solve the differential equation \(\overline D_TT = 0\) of parametric curves on the tubular surface where \(D\) is the connection of the tubular surface and \(T\) is the unit vector field of two parametric curves on the tubular surface in particular. It is shown that for fixed \(s\) all of parametric curves of the tubular surface \(M =\varphi(s,t)\) are geodesics and for fixed \(t\) only the curves \(\varphi_{t = 0}(s)\) are geodesics.
Mathematics Subject Classification ID: 53A35
Mathematics Subject Classification ID: 53B30
Mathematics Subject Classification ID: 53A05
zbMATH DE Number: 5304874
zbMATH Keywords: motion along a curve
zbMATH Keywords: Gauss equation
zbMATH Keywords: geodesics on surfaces
zbMATH Keywords: tubular surface
zbMATH Keywords: Minkowski 3-space
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5304874