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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Vladimír Fiřt (1974)
Aplikace matematiky
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Georgi Ganchev, Velichka Milousheva (2010)
Open Mathematics
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In the tangent plane at any point of a surface in the four-dimensional Euclidean space we consider an invariant linear map ofWeingarten-type and find a geometrically determined moving frame field. Writing derivative formulas of Frenet-type for this frame field, we obtain eight invariant functions. We prove a fundamental theorem of Bonnet-type, stating that these eight invariants under some natural conditions determine the surface up to a motion. We show that the basic geometric classes...
Kalikakis, Dimitrios E. (2002)
Abstract and Applied Analysis
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Roussos, Ioannis M. (1988)
Publications de l'Institut Mathématique. Nouvelle Série
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Dae Yoon (2010)
Open Mathematics
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In this paper, we classify polynomial translation surfaces in Euclidean 3-space satisfying the Jacobi condition with respect to the Gaussian curvature, the mean curvature and the second Gaussian curvature.
Kalikakis, Dimitrios E. (2002)
Abstract and Applied Analysis
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Benz, Walter (2000)
Beiträge zur Algebra und Geometrie
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Hongyou Wu (2001)
Mathematica Bohemica
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We give an expository account of a Weierstrass type representation of the non-zero constant mean curvature surfaces in space and discuss the meaning of the representation from the point of view of partial differential equations.
C. E. Weatherburn (1930)
Journal de Mathématiques Pures et Appliquées
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