- Hacettepe Journal of Mathematics and Statistics
- Vol: 51 Issue: 4
- Characterizations of a helicoid and a catenoid
Characterizations of a helicoid and a catenoid
Authors : Zuhal Kucukarslan Yuzbasi, Dae Won Yoon
Pages : 1005-1012
Doi:10.15672/hujms.881876
View : 12 | Download : 5
Publication Date : 2022-08-01
Article Type : Research
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.Keywords : minimal surface, catenoid, helicoid, marching-scale function