International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2578

Full Length Research Paper

Timelike tubes with Darboux frame in Minkowski 3-space

Sezai Kızıltuğ1* and Yusuf Yaylı2
1Department of Mathematics, Faculty of Science, Atatürk University, Erzurum, Turkey. 2Department of Mathematics, Faculty of Science, Ankara University, Ankara, Turkey.  
Email: [email protected]

  •  Accepted: 31 December 2012
  •  Published: 09 January 2013

Abstract

In this study, we define a timelike tube around a spacelike curve with timelike binormal by taking Darboux frame instead of Frenet frame in Minkowski 3-space  QUOTE  . Subsequently, we compute the Gaussian curvature, the mean curvature, and the second Gaussian curvature of timelike tube with Darboux frame and obtained some characterizations for special curves on this timelike tube around a spacelike curve with timelike binormal.

 

Key words: Darboux frame, tube surface, Minkowski space-time, mean and gaussian curvatures, second gaussian curvature, asymptotic and geodesic curves, line of curvature.

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