On motion of robot end-effector using the curvature theory of timelike ruled surfaces with timelike rulings.
Ekici, Cumali, Ünlütürk, Yasin, Dede, Mustafa, Ryuh, B.S. (2008)
Mathematical Problems in Engineering
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Ekici, Cumali, Ünlütürk, Yasin, Dede, Mustafa, Ryuh, B.S. (2008)
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.
Bang-Yen Chen (2010)
Open Mathematics
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A Lorentz surface of an indefinite space form is called a parallel surface if its second fundamental form is parallel with respect to the Van der Waerden-Bortolotti connection. Such surfaces are locally invariant under the reflection with respect to the normal space at each point. Parallel surfaces are important in geometry as well as in general relativity since extrinsic invariants of such surfaces do not change from point to point. Recently, parallel Lorentz surfaces in 4D neutral...
İyigün, Esen, Arslan, Kadri, Öztürk, Günay (2008)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Roussos, Ioannis M. (1988)
Publications de l'Institut Mathématique. Nouvelle Série
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Dursun, Uǧur (2010)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Bernard Rouxel (2010)
Kragujevac Journal of Mathematics
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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.
Rashad A. Abdel-Baky, H. N. Abd-Ellah (2008)
Archivum Mathematicum
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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 , where and are the Gaussian and mean curvatures of the first and second fundamental forms, respectively. Finally, some examples are constructed and plotted.
Rashad A. Abdel-Baky, H. N. Abd-Ellah (2008)
Archivum Mathematicum
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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 , where and are the Gaussian and mean curvatures of the first and second fundamental forms, respectively. Finally, some examples are constructed and plotted.
Abdel-Baky, R.A., Abd-Ellah, H.N. (2008)
Archivum Mathematicum
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Malkowsky, Eberhard, Veličković, Vesna (2008)
APPS. Applied Sciences
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