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2019•Facta Universitatis Series Mathematics and InformaticsOpen access

TUBULAR SURFACES WITH DARBOUX FRAME IN GALILEAN 3-SPACE

Sezai Kızıltuğ, Mustafa Dede, Cumali̇ Eki̇ci̇

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Abstract

In this paper, we define tubular surface by using a Darboux frame instead of a Frenet frame. Subsequently, we compute the Gaussian curvature and the mean curvature of the tubular surface with a Darboux frame. Moreover, we obtain some characterizations for special curves on this tubular surface in a Galilean 3-space.

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What this paper is about

In this paper, we define tubular surface by using a Darboux frame instead of a Frenet frame. Subsequently, we compute the Gaussian curvature and the mean curvature of the tubular surface with a Darboux frame. Moreover, we obtain some characterizations for special curves on this tubular surface in a Galilean 3-space.

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Available abstract

In this paper, we define tubular surface by using a Darboux frame instead of a Frenet frame. Subsequently, we compute the Gaussian curvature and the mean curvature of the tubular surface with a Darboux frame. Moreover, we obtain some characterizations for special curves on this tubular surface in a Galilean 3-space.

Key concepts: Frenet–Serret formulas, Galilean, Gaussian curvature, Curvature, Frame (networking), Surface (topology), Space (punctuation), Space frame

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