Translation Surfaces in the 3-Dimensional Pseudo-Galilean Space Satisfying: \(\boldsymbol{\bigtriangleup^{\mathrm{II}}\, r_i=\lambda_i r_i}\)

Authors

  • Azzi Ahmed Department of Mathematics and Computer Science, University Centre Ali Kafi, Tindouf, Algeria; Department of Mathematics, Faculty of Sciences, University of Oran 1, Ahmed Benbella, Algeria
  • Bekkar Mohammed Department of Mathematics and Computer Science, National Polytechnic School of Oran, B.P. 1523 El M'Naour, Oran
  • Zoubir Hanifi Department of Mathematics, Faculty of Sciences, University of Oran 1, Ahmed Benbella

DOI:

https://doi.org/10.26713/cma.v12i2.1384

Keywords:

Pseudo-Galilean space, Surface of finite type, Translation surfaces, II-Harmonic, Laplacian operator with respect to the second fundamental form

Abstract

In this paper, we classify translation surfaces in a \(3\)-dimensional Pseudo-Galilean space \(\mathbb{G}_{3}^1\)  under the condition  \(\bigtriangleup^{\rm II}\, r_i=\lambda_i r_i\), where \(r_i\) are the components of the position vector, \(\lambda_i\in\mathbb{R}\), \((i=1,2,3)\), and \(\bigtriangleup^{\rm II}\) denotes the Laplace operator with respect to the second fundamental form.

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References

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Published

30-06-2021
CITATION

How to Cite

Ahmed, A., Mohammed, B., & Hanifi, Z. (2021). Translation Surfaces in the 3-Dimensional Pseudo-Galilean Space Satisfying: \(\boldsymbol{\bigtriangleup^{\mathrm{II}}\, r_i=\lambda_i r_i}\). Communications in Mathematics and Applications, 12(2), 347–357. https://doi.org/10.26713/cma.v12i2.1384

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Research Article