On an extension of the \(B\)-scroll surface in Lorentz 3-space \(R_1^3\) (Q2726116)

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scientific article; zbMATH DE number 1620008
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On an extension of the \(B\)-scroll surface in Lorentz 3-space \(R_1^3\)
scientific article; zbMATH DE number 1620008

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    15 April 2002
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    surfaces of finite type
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    Lorentz space
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    timelike ruled surfaces
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    mean curvature
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    On an extension of the \(B\)-scroll surface in Lorentz 3-space \(R_1^3\) (English)
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    This paper deals with extended B-scroll surfaces in the Lorentz space \(\mathbb{R}^3_1\). This class of surfaces, consisting of timelike ruled surfaces, is an extension of the B-scroll surfaces in \(\mathbb{R}^3_1\), which were defined and studied by \textit{L. K. Graves} [Trans. Am. Math. Soc. 252, 367-392 (1979; Zbl 0415.53041)]. The authors investigate several properties of these surfaces concerning among others their intrinsic geometry, the mean curvature and the Laplace-operator.
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