Translation Surfaces in the 3-Dimensional Pseudo-Galilean Space Satisfying: \(\boldsymbol{\bigtriangleup^{\mathrm{II}}\, r_i=\lambda_i r_i}\)
DOI:
https://doi.org/10.26713/cma.v12i2.1384Keywords:
Pseudo-Galilean space, Surface of finite type, Translation surfaces, II-Harmonic, Laplacian operator with respect to the second fundamental formAbstract
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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