Classification of Translation Surfaces of Type 1 in Semi-Isotropic Space

Karacan M. K., Cakmak A., YÜKSEL N., KIZILTUĞ S.

JOURNAL OF MATHEMATICAL EXTENSION, cilt.13, sa.2, ss.137-156, 2019 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 2
  • Basım Tarihi: 2019
  • Dergi Adı: JOURNAL OF MATHEMATICAL EXTENSION
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.137-156
  • Erciyes Üniversitesi Adresli: Evet

Özet

In this paper, we classify translation surfaces of Type1 in the three dimensional semi- isotropic space SI3 under the condition Delta(J) x(i), = lambda(i)x(i), where Delta(J) denotes the Laplacian of the surface with respect to the first, the second and the third fundamental forms. We also give explicit forms of these surfaces.