Volume 31 • Number 1 • 2008
 
• On the Geodesics of Tubular Surfaces in Minkowski 3-Space
Murat Kemal Karacan and Yusuf Yayli
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.

2000 Mathematics Subject Classification: 53A35, 53B30.


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