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Characterisation of cylindrical curves

Starostin, EL; van der Heijden, GHM; (2015) Characterisation of cylindrical curves. MONATSHEFTE FUR MATHEMATIK , 176 (3) 481 - 491. 10.1007/s00605-014-0705-4. Green open access

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Abstract

We employ moving frames along pairs of curves at constant separation to derive various conditions for a curve to belong to the surface of a circular cylinder.

Type: Article
Title: Characterisation of cylindrical curves
Open access status: An open access version is available from UCL Discovery
DOI: 10.1007/s00605-014-0705-4
Publisher version: http://dx.doi.org/10.1007/s00605-014-0705-4
Additional information: © The Author(s) 2014. This article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited.
Keywords: Curve on surface, Circular cylinder, Euclidean space, Moving frame, Curves of constant separation, Closed curves
UCL classification: UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Civil, Environ and Geomatic Eng
URI: https://discovery.ucl.ac.uk/id/eprint/1465538
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