Surface Pencil with Constant Gaussian Curvature Along a Non-null Curve

Çoruh Şenocak S., Bayram E.

International TURAN-Fundamental Sciences Symposium (TURAN25), İstanbul, Türkiye, , İstanbul, Türkiye, 23 - 25 Haziran 2025, ss.79, (Özet Bildiri)

  • Yayın Türü: Bildiri / Özet Bildiri
  • Basıldığı Şehir: İstanbul
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.79
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

This study obtains surface pencil passing through a given curve with constant Gaussian curvature along this curve in Minkowski 3-space. There results are presented for spacelike curves with spacelike or timelike normal, as well as for timelike curves. The surface pencil passing through these curves are expressed parametrically. Additionally, sufficient conditions are given for these type of surface pencil. Examples are included to aid in visualizing the equations found.