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Tubular Surfaces Formed by Semi-spherical Indicatrices in \(E_1^3\)

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Abstract

In this paper, we study tubular surfaces whose centers are semi-spherical indicatrices of a spatial curve using the alternative moving frame \( \left\{ N,C,W\right\} \). The first objective is to examine the basic properties of these surfaces. Then, we investigate the condition of the parameter curves on these surfaces to be asymptotic and geodesic curves. Finally, we present the graphs of some related examples using the Mathematica.

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Acknowledgements

The authors would like to thank referees for their valuable suggestions and comments that helped to improve the presentation of this paper.

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Correspondence to Fatma Ateş.

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Ateş, F., Kocakuşaklı, E., Gök, İ. et al. Tubular Surfaces Formed by Semi-spherical Indicatrices in \(E_1^3\). Mediterr. J. Math. 17, 127 (2020). https://doi.org/10.1007/s00009-020-01561-z

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  • DOI: https://doi.org/10.1007/s00009-020-01561-z

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