On tubular surfaces with modified orthogonal frame in Galilean space G3

Author:

Kiziltug Sezai1,Cakmak Ali2,Erisir Tulay1,Mumcu Gokhan3

Affiliation:

1. Faculty of Arts and Sciences, Department of Mathematics, Erzincan Binali Yildirim University, Erzincan, Turkey

2. Faculty of Arts and Sciences, Department of Mathematics, Bitlis Eren University, Bitlis, Turkey

3. Graduate School of Natural and Applied Sciences, Department of Mathematics, Erzincan Binali Yildirim University, Erzincan, Turkey

Abstract

In this study, we give the curves and tubular surfaces in Galilean space with modified orthogonal frame. Firstly, we consider any curve in G3 and we obtain derivative formulas of modified orthogonal frame of any curve in G3. Therefore, we get tubular surface with modified orthogonal frame in Galilean space G3. Consequently, we give some examples and figures.

Publisher

National Library of Serbia

Subject

Renewable Energy, Sustainability and the Environment

Reference25 articles.

1. Yaglom, I. M., A Simple Non-Euclidean Geometry and ıts Physical Basis, Springer, New York, USA, 1979

2. Yaglom, I. M., Complex Number in Geometry, Academic Press Inc., New York, USA, 1968

3. Klein, F., Vorlesungen über nicht-Euklidische Geometrie, Springer, Berlin, 1928

4. Klein, F., in: Uber die sogenante nicht-Euklidische Geometrie, Springer, Berlin, Gesammelte Math Abd., 1921

5. Divjak, B., Special Curves on Ruled Surfaces in Galilean and Pseudo-Galilean Space, Acta Math. Hungar., 3 (2003), 98, pp. 203-215

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