Characterizations of a helicoid and a catenoid

Authors : Zuhal KUCUKARSLAN YUZBASİ, Dae Won YOON

Pages : 1005-1012

Doi:10.15672/hujms.881876

View : 17 | Download : 6

Publication Date : 2022-08-01

Article Type : Research Paper

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