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Ruled surfaces with bi-null curves in \({\mathbb {R}}_{2}^{5}\)

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Abstract

In the present paper, we discuss the geometric properties of two classes of ruled surfaces whose directrix curve is a bi-null curve in semi-Euclidean space \({\mathbb {R}}_{2}^{5}\). We get some classes of flat marginally trapped surfaces in \({\mathbb {R}}_{2}^{5}\).

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Acknowledgments

The authors express thanks to the referees for their valuable suggestions. The second author would like to thank TUBITAK (The Scientific and Technological Research Council of Turkey) for their financial supports during his PhD studies.

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Correspondence to Kazım İlarslan.

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Sakaki, M., Uçum, A. & İlarslan, K. Ruled surfaces with bi-null curves in \({\mathbb {R}}_{2}^{5}\) . Rend. Circ. Mat. Palermo, II. Ser 66, 485–493 (2017). https://doi.org/10.1007/s12215-016-0287-1

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  • DOI: https://doi.org/10.1007/s12215-016-0287-1

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