Translation Surfaces Generated by the Adjoint Curve in 3-dimensional Euclidean Space

Saltık B., Yüksel N.

7 th INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES ICMS 2023, İstanbul, Türkiye, 5 - 09 Temmuz 2023, ss.86

  • Yayın Türü: Bildiri / Özet Bildiri
  • Basıldığı Şehir: İstanbul
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.86
  • Erciyes Üniversitesi Adresli: Evet

Özet

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.