Special curves and ruled surfaces.

Izumiya, Shyuichi; Takeuchi, Nobuko

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Displaying similar documents to “Special curves and ruled surfaces.”

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Ruled W-surfaces in Minkowski 3-space $ℝ_{1}^{3}$ .

Abdel-Baky, R.A., Abd-Ellah, H.N. (2008)

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Ruled W-surfaces in Minkowski 3-space $ℜ_{1}^{3}$

Rashad A. Abdel-Baky, H. N. Abd-Ellah (2008)

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In this paper, we study a spacelike (timelike) ruled W-surface in Minkowski 3-space which satisfies nontrivial relation between elements of the set ${K, K_{I I}, H, H_{I I}}$ , where $(K, H)$ and $(K_{I I}, H_{I I})$ are the Gaussian and mean curvatures of the first and second fundamental forms, respectively. Finally, some examples are constructed and plotted.

Ruled W-surfaces in Minkowski 3-space $ℜ_{1}^{3}$

Rashad A. Abdel-Baky, H. N. Abd-Ellah (2008)

Archivum Mathematicum

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Some remarks on duality in $S^{3}$

Ian Porteous (1999)

Banach Center Publications

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In this paper we review some of the concepts and results of V. I. Arnol’d [1] for curves in $S^{2}$ and extend them to curves and surfaces in $S^{3}$ .