Geodesic
On the Geodesics of Tubular Surfaces in Minkowski 3-Space
Bulletin of the Malaysian Mathematical Society, Volume 31 (2008) no. 1

See the original article notice from the Bulletin of the Malaysian Mathematical Sciences Society website source

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 D T T=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.
Classification: 53A35, 53B30. 
Murat Kemal Karacan; Yusuf Yayli. On the Geodesics of Tubular Surfaces in Minkowski 3-Space. Bulletin of the Malaysian Mathematical Society, Volume 31 (2008) no. 1. http://geodesic.mathdoc.fr/item/BMMS_2008_31_1_a0/
@article{BMMS_2008_31_1_a0,
     author = {Murat Kemal Karacan and Yusuf Yayli},
     title = {On the {Geodesics} of {Tubular} {Surfaces} in {Minkowski} {3-Space}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2008},
     volume = {31},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2008_31_1_a0/}
}
TY  - JOUR
AU  - Murat Kemal Karacan
AU  - Yusuf Yayli
TI  - On the Geodesics of Tubular Surfaces in Minkowski 3-Space
JO  - Bulletin of the Malaysian Mathematical Society
PY  - 2008
VL  - 31
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/BMMS_2008_31_1_a0/
ID  - BMMS_2008_31_1_a0
ER  - 
%0 Journal Article
%A Murat Kemal Karacan
%A Yusuf Yayli
%T On the Geodesics of Tubular Surfaces in Minkowski 3-Space
%J Bulletin of the Malaysian Mathematical Society
%D 2008
%V 31
%N 1
%U http://geodesic.mathdoc.fr/item/BMMS_2008_31_1_a0/
%F BMMS_2008_31_1_a0