Title of article
On the Geodesics of Tubular Surfaces in Minkowski 3-Space
Author/Authors
Karacan, Murat Kemal Usak University - Faculty of Sciences and Arts - Department of Mathematics, Turkey , Yayli, Yusuf Ankara Üniversitesi - Faculty of Sciences - Department of Mathematics, Turkey
From page
1
To page
10
Abstract
In this study, we research geodesics of tubular surfaces which is founded by using two-parameter spatial motion along a curve in Minkowski 3-space. To do this, we solve differential equation DTT=0 of parametric curves on the tubular surface where D is the connection of 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=φ (s,t) are geodesics and for fixed t only the curves φ{t=0}(s) are geodesics
Keywords
Motion along a curve , Gauss equation , Geodesics on surfaces , Tubular surface , Minkowski 3 , space
Journal title
Bulletin of the Malaysian Mathematical Sciences Society
Journal title
Bulletin of the Malaysian Mathematical Sciences Society
Record number
2549739
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