Surfaces generated by translation surfaces of type 1 in i1 3

KARACAN M. K., Çakmak A., KIZILTUĞ S., ES H.

Iranian Journal of Mathematical Sciences and Informatics, cilt.16, sa.1, ss.123-135, 2021 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 16 Sayı: 1
  • Basım Tarihi: 2021
  • Doi Numarası: 10.29252/ijmsi.16.1.123
  • Dergi Adı: Iranian Journal of Mathematical Sciences and Informatics
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Sayfa Sayıları: ss.123-135
  • Anahtar Kelimeler: Simply isotropic space, Surface at a constant distance from the edge of regression on a surface, Translation surfaces
  • Uşak Üniversitesi Adresli: Evet

Özet

In this paper, we classify surfaces at a constant distance from the edge of regression on a translation surface of Type 1 in the three dimensional simply isotropic space I13satisfying some algebraic equations in terms of the coordinate functions and the Laplacian operators with respect to the first, the second and the third fundamental forms of the surface. We also give explicit forms of these surfaces.