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Volume 31 Number 1 2008 |
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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.
Full text: PDF
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