TY - JOUR
T1 - Surfaces Generated by Translation Surfaces of Type 1 in I^1_3
TT -
JF - IJMSI
JO - IJMSI
VL - 16
IS - 1
UR - http://ijmsi.ir/article-1-1256-en.html
Y1 - 2021
SP - 123
EP - 135
KW - Simply isotropic space
KW - Translation surfaces
KW - Surface at a constant distance from the edge of regression on a surface.
N2 - 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.
M3
ER -