Translation surfaces in the three-dimensional simply isotropic space I3 1
International Journal of Geometric Methods in Modern Physics, cilt.13, sa.7, 2016 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 13 Sayı: 7
- Basım Tarihi: 2016
- Doi Numarası: 10.1142/s0219887816500882
- Dergi Adı: International Journal of Geometric Methods in Modern Physics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Anahtar Kelimeler: Laplace operator, Simply isotropic space, translation surfaces
- Uşak Üniversitesi Adresli: Evet
Özet
In this paper, we classify translation surfaces in the three-dimensional simply isotropic space 31 under the condition ix i = ixi where is the Laplace operator with respect to the first and second fundamental forms and is a real number. We also give explicit forms of these surfaces.