Classification of Translation Surfaces of Type 1 in Semi-Isotropic Space
JOURNAL OF MATHEMATICAL EXTENSION, cilt.13, sa.2, ss.137-156, 2019 (ESCI)
- 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.