Framed Surface Pencils with a Given Framed Geodesic


Çoruh Şenocak S., Bayram E.

International Congress on Differential Geometry and Related Topics, İzmir, Türkiye, 17 - 18 Ağustos 2026, ss.91, (Özet Bildiri)

  • Yayın Türü: Bildiri / Özet Bildiri
  • Basıldığı Şehir: İzmir
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.91
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In this study, a surface pencil passing through a given framed curve is constructed in parametric form, and the conditions to obtain a framed surface are determined. The criteria for the framed curve to be a geodesic on the framed surface are also defined. This geodesic property is shown to be invariant under rotations and reflections. To illustrate the findings, two examples of a framed surface containing the given framed geodesic are presented.