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Cited 4 time in webofscience Cited 3 time in scopus
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Characterizations of a helicoid and a catenoid

Authors
Yuzbasi, Zuhal KucukarslanYoon, Dae Won
Issue Date
Aug-2022
Publisher
University of Hacettepe
Keywords
minimal surface; catenoid; helicoid; marching-scale function
Citation
Hacettepe Journal of Mathematics and Statistics, v.51, no.4, pp 1005 - 1012
Pages
8
Indexed
SCIE
SCOPUS
Journal Title
Hacettepe Journal of Mathematics and Statistics
Volume
51
Number
4
Start Page
1005
End Page
1012
URI
https://scholarworks.gnu.ac.kr/handle/sw.gnu/2807
DOI
10.15672/hujms.881876
ISSN
1303-5010
2651-477X
Abstract
In the present article, we consider a parametric surface generated by the Frenet frame of a curve, and study the minimality condition for the surface. As a result, we give characterizations of a helicoid and a catenoid. Finally we show some examples of minimal surfaces generated by a circle and a helix.
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