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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Displaying similar documents to “Helicoidal surfaces in Minkowski space with constant mean curvature and constant Gauss curvature”
On motion of robot end-effector using the curvature theory of timelike ruled surfaces with timelike rulings.
Surfaces of characteristic curvature
Vladimír Fiřt (1974)
Aplikace matematiky
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Invariants and Bonnet-type theorem for surfaces in ℝ4
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...
On the curvature of nonregular saddle surfaces in the hyperbolic and spherical three-space.
Kalikakis, Dimitrios E. (2002)
Abstract and Applied Analysis
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A geometric characterization of helicoidal surfaces of constant mean curvature.
Roussos, Ioannis M. (1988)
Publications de l'Institut Mathématique. Nouvelle Série
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Polynomial translation surfaces of Weingarten types in Euclidean 3-space
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.
A characterization of regular saddle surfaces in the hyperbolic and spherical three-space.
Kalikakis, Dimitrios E. (2002)
Abstract and Applied Analysis
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A common characterization of the curvature axis for ruled surfaces and curves. (Eine gemeinsame Kennzeichnung der Krümmungsachse bei Regelflächen und Kurven.)
Benz, Walter (2000)
Beiträge zur Algebra und Geometrie
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The PDE describing constant mean curvature surfaces
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.