7th INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES ICMS 2023, İstanbul, Türkiye, 5 - 09 Temmuz 2023, ss.86
Abstract
In this talk, we examined the translation surfaces formed by a curve with constant curvature and its adjoint
curve. We calculated first fundamental form, second fundamental form, Gaussian curvature and mean cur-
vature of the translation surface. It has been shown that this surface is not developable. In addition, the
condition of being minimal for this surface was determined and its principal curvatures were calculated.
Keywords: Translation surfaces, adjoint curves, minimal surfaces.
2020 Mathematics Subject Classification Numbers: 53A04, 53A05, 53A10.