Surfaces with H2 = K along a given curve in Minkowski Space R 3 1


Çoruh Şenocak S., Bayram E.

International Symposium on Differential Geometry and Its Applications ISDIGA-2025 ,Munzur University, 3 - 04 Temmuz 2025, ss.19, (Özet Bildiri)

  • Yayın Türü: Bildiri / Özet Bildiri
  • Sayfa Sayıları: ss.19
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In this study, we investigate the conditions for the formation of a non-null surface with a curve H2 = K, where the square of the mean curvature is equal to the Gaussian curvature. The results for the spacelike and timelike cases of the curve on the non-null surface are given one by one. The parametric expressions of surfaces with curves that satisfy this special condition are given. The coefficient functions used are arranged in such a way that H2 = K along the curve. The study is supported by examples that meet the conditions.