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

Authors

  • Ali Çakmak Bitlis Eren University
  • Murat Kemal Karacan Usak University
  • Nural Yüksel Erciyes University
  • Sezai Kızıltuğ Erzincan University

DOI:

https://doi.org/10.30495/jme.v13i0.777

Keywords:

Semi- isotropic space, translation surfaces, Laplace operator

Abstract

In this paper, we classify translation surfaces of Type1 in the threedimensional semi- isotropic space {SI}^{3} 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.

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Published

2019-01-08

Issue

Vol. 13

Section

Vol. 13, No. 2, (2019)

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