Timelike tubes with Darboux frame in Minkowski 3-space | Zendy

Kızıltuğ Sezai | Zendy; Yaylı Yusuf | Zendy

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Timelike tubes with Darboux frame in Minkowski 3-space

Author(s) -

Kızıltuğ Sezai,

Yaylı Yusuf

Publication year - 2013

Publication title -

international journal of the physical sciences

Language(s) - English

Resource type - Journals

ISSN - 1992-1950

DOI - 10.5897/ijps12.602

Subject(s) - frenet–serret formulas , minkowski space , gaussian curvature , curvature , geodesic , frame (networking) , space (punctuation) , mathematical analysis , mathematical physics , gaussian , moving frame , physics , mathematics , geometry , computer science , quantum mechanics , telecommunications , operating system

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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