Constant curvature factorable surfaces in 3-dimensional isotropic space
Differential Geometry
2016-12-09 v1
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.
Cite
@article{arxiv.1612.02458,
title = {Constant curvature factorable surfaces in 3-dimensional isotropic space},
author = {Muhittin Evren Aydin},
journal= {arXiv preprint arXiv:1612.02458},
year = {2016}
}
Comments
12 pages, 4 figures. All comments are welcome