Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 47, No. 2, pp. 567-582 (2006)
Equiform kinematics and the geometry of line elements
Boris Odehnal, Helmut Pottmann and Johannes WallnerInstitut für Diskrete Mathematik und Geometrie, TU Wien, Wiedner Hauptstr. 8--10/104, A-1040 Wien, Austria
Abstract: The present paper studies Plücker coordinates for line elements in Euclidean three-space. The well known relation between line geometry and kinematics is generalized to equiform motions and the geometry of line elements. We consider bundles and linear complexes of line elements and survey their properties.
Keywords: line geometry, line element, linear complex, spiral motion, equiform kinematics.
Classification (MSC2000): 51M30, 53A17
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Electronic version published on: 19 Jan 2007. This page was last modified: 5 Nov 2009.