Surfaces with H^2 = K along a given curve

Köse B., Bayram E.

International Geometry Symposium In Honor of Prof. Dr. Aysel TURGUT VANLI, Tunceli, Türkiye, 1 - 02 Temmuz 2024, ss.37-38, (Özet Bildiri)

  • Yayın Türü: Bildiri / Özet Bildiri
  • Basıldığı Şehir: Tunceli
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.37-38
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In the present paper, we handle the problem of construction of surfaces with a given curve whose squared mean curvature is equal to the Gaussian curvature, that is H^2 = K; along the given curve. We express surfaces parametrically possessing the given curve and obtain conditions for the coefficient functions to satisfy H^2 = K along the curve. The theory is validated by illustrative examples