Translation Surfaces of the Third Fundamental Form in Lorentz-Minkowski Space
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Abstract:
In this paper we study translation surfaces with the non-degenerate third fundamental form in Lorentz- Minkowski space $mathbb{L}^{3}$. As a result, we classify translation surfaces satisfying an equation in terms of the position vector field and the Laplace operator with respect to the third fundamental form $III$ on the surface.
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Journal title
volume 17 issue 1
pages 165- 176
publication date 2022-04
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