Mannheim offsets of ruled surfaces.
Orbay, Keziban, Kasap, Emin, Aydemir, İsmail (2009)
Mathematical Problems in Engineering
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Orbay, Keziban, Kasap, Emin, Aydemir, İsmail (2009)
Mathematical Problems in Engineering
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Rafael López, Esma Demir (2014)
Open Mathematics
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We classify all helicoidal non-degenerate surfaces in Minkowski space with constant mean curvature whose generating curve is a the graph of a polynomial or a Lorentzian circle. In the first case, we prove that the degree of the polynomial is 0 or 1 and that the surface is ruled. If the generating curve is a Lorentzian circle, we prove that the only possibility is that the axis is spacelike and the center of the circle lies on the axis.
Roussos, Ioannis M. (1988)
Publications de l'Institut Mathématique. Nouvelle Série
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Marian Munteanu, Ana Nistor (2011)
Open Mathematics
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In the present paper we classify all surfaces in 3 with a canonical principal direction. Examples of this type of surfaces are constructed. We prove that the only minimal surface with a canonical principal direction in the Euclidean space 3 is the catenoid.
Vladimír Fiřt (1974)
Aplikace matematiky
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M. P. Dussan, M. Magid (2010)
Annales Polonici Mathematici
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We characterize the Christoffel pairs of timelike isothermic surfaces in the four-dimensional split-quaternions. When restricting the receiving space to the three-dimensional imaginary split-quaternions, we establish an equivalent condition for a timelike surface in ℝ³₂ to be real or complex isothermic in terms of the existence of integrating factors.
Karacan, Murat Kemal, Bukcu, Bahaddin (2007)
Balkan Journal of Geometry and its Applications (BJGA)
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C. E. Weatherburn (1930)
Journal de Mathématiques Pures et Appliquées
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Velimirović, Ljubica S. (1998)
Publications de l'Institut Mathématique. Nouvelle Série
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Derya Sağlam, Özgür Boyacıoğlu Kalkan (2013)
Matematički Vesnik
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M. A. Magid (2004)
Annales Polonici Mathematici
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Lorentzian surfaces in Lorentz three-space are studied using an indefinite version of the quaternions. A classification theorem for Bonnet pairs in Lorentz three-space is obtained.
Balgetir, Handan, Bektaş, Mehmet, Ergüt, Mahmut (2003)
APPS. Applied Sciences
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