Timelike tubes with Darboux frame in Minkowski 3-space

descriptionPublicationkeyboard_double_arrow_right Article 09 Jan 2013Publisher:Academic JournalsJournal:International Journal of Physical Sciences, volume 8, pages 31-36 (eissn: 1992-1950,

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Authors: Kızıltuğ Sezai; Yaylı Yusuf;

doi: 10.5897/ijps12.602

Timelike tubes with Darboux frame in Minkowski 3-space

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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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