Surfaces Generated by Translation Surfaces of Type 1 in I^1_3
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Abstract:
In this paper, we classify surface at a constant distance from the edge of regression on translation surfaces of Type 1 in the three dimensional simply isotropic space I^1_3 satisfying some algebraic equations in terms of the coordinate functions and the Laplacian operators with respect to the first, the second and the third fundamental form of the surface. We also give explicit forms of these surfaces.
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Journal title
volume 16 issue 1
pages 123- 135
publication date 2021-04
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