HELICOIDAL SURFACES IN THE THREE DIMENSIONAL SIMPLY ISOTROPIC SPACE I-3(1)

WOS: 000410490400001In this paper, we classify helicoidal surfaces in the three dimensional simply isotropic space I-3(1) 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.Basic Science Research Program through National Research Foundation of Korea(NRF) - Ministry of Education [2015R1D1A1A01060046]The authors would like to thank the referees for their valuable comments which helped to improve the manuscript. The second author was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF)funded by the Ministry of Education (2015R1D1A1A01060046)