Translation surfaces in the three-dimensional simply isotropic space I3 1

---

Atıf İçin Kopyala

KARACAN M. K., Yoon D. W., Bukcu B.

International Journal of Geometric Methods in Modern Physics, cilt.13, sa.7, 2016 (SCI-Expanded)

• 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.