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


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

JOURNAL OF MATHEMATICAL EXTENSION, cilt.13, ss.137-156, 2019 (ESCI İndekslerine Giren Dergi)

  • Cilt numarası: 13 Konu: 2
  • Basım Tarihi: 2019
  • Dergi Adı: JOURNAL OF MATHEMATICAL EXTENSION
  • Sayfa Sayısı: ss.137-156

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.