논문KCI 등재
On the scalar and dual formulations of the curvature theory of line trajectories in the Lorentzian space
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Abstract
This paper develops in detail the dierential geometryof ruled surfaces from two perspectives, and presents the under-lying relations which unite them. Both scalar and dual curvaturefunctions which dene the shape of a ruled surface are derived.Explicit formulas are presented for the computation of these func-tions in both formulations of the dierential geometry of ruled sur-faces. Also presented is a detailed analysis of the ruled surface whichcharacterizes the shape of a general ruled surface in the same waythat osculating circle characterizes locally the shape of a non-nullLorentzian curve.
참고문헌 (9)
- "The Gauss Map and Spacelike Surfaces withPrescribed Mean Curvature in Minkowski 3-Space" (1990)
- "Trigonometry in Lorentzian Geometry", (mizu), pp.~91 (1984)
- "On the Scalar and Dual Formulations of the Curvature Theoryof Line Trajectories Journal of Mechanisms" (1987)
- "The Curvature Theory of Line Trajectories inSpatial Kinematics ASME Journal of Mechanical Design 103" (1981)
- "Semi-Riemannian Geometry with Applications to Relativity Scalar and dual formulations of the curvature theory 1355" (1983), Aca-demic Press
- "Timelike Ruled Surfaces in the Minkowski3-Space-I", 22(1), pp.33~46 (1998)
- "The Study Mapping for Directed Spacelike andTimelike Lines in Minkowski 3-spaceR31", 1(2), pp.142~148 (1996)
- "On the use of dual numbers vectors and matrices in instan-taneous" (1976), spatial kinematics
- "The E. Study Maps of Circles on Dual Hyperbolic and Lorentzian Unit Spheres $H_{0}^{2}$ and$S_{1}^{2}$", (1), pp.37~47 (2002)
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