Journal of Mathematical Physics, Analysis, Geometry
2019, vol. 15, No 2, pp. 278-287     ( to contents , go back )

Tubular Surfaces with Galilean Darboux Frame in G3

Dae Won Yoon

Department of Mathematics Education and RINS, Gyeongsang National University, Jinju 52828, Republic of Korea

Zühal Küçükarslan Yüzbaşı

Department of Mathematics, Firat University, 23119 Elazig, Turkey

Received December 19, 2017, revised January 27, 2018.


The main point of the research is to study a new approach for defining the tubular surfaces with the Galilean Darboux frame in 3-dimensional Galilean space. Also, we obtain the Gaussian and mean curvatures and derive some parametrizations for a special curve to lie on tubular surfaces with the Galilean Darboux frame.

Mathematics Subject Classification 2000: 53A35, 53Z05.
Key words: tubular surface, Galilean Darboux frame, geodesic, asymptotic, Galilean space.

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