Constant curvature factorable surfaces in 3-dimensional isotropic space

Abstract

In this paper, we study factorable surfaces in a 3-dimensional isotropic space. We classify such surfaces with constant isotropic Gaussian (K) and mean curvature (H). We provide a non-existence result related with the surfaces satisfying H/K=const. Several examples are also illustrated.

arXiv comment12 pages, 4 figures. All comments are welcome